Naturalisation straight after ILR without marriage certificate but married to British citizen

Hi all I married to British citizen in 2015 and living together with kids. It's been 10 years now. We haven't registered our marriage but have joint bank accounts, travelling together family holidays every year, joint mortgage on our home and have strong relationship as family. I have received ILR recently. Can I apply for citizenship straightaway as I am married to British citizen Marriage was in UK. Anyone please share your experience or thoughts or someone with similar situation applied for naturalisation and their outcome? Much appreciated.