227972826225 has 81 divisors (see below), whose sum is σ = 413087223393. Its totient is φ = 120183670080.

The previous prime is 227972826197. The next prime is 227972826241. The reversal of 227972826225 is 522628279722.

The square root of 227972826225 is 477465.

It is a perfect power (a square), and thus also a powerful number.

227972826225 is a `hidden beast` number, since 2 + 2 + 7 + 9 + 7 + 2 + 8 + 2 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31113784881 + 196859041344 = 176391^2 + 443688^2 .

It is not a de Polignac number, because 227972826225 - 2²¹ = 227970729073 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 995514411 + ... + 995514639.

Almost surely, 2^227972826225 is an apocalyptic number.

227972826225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

227972826225 is the 477465-th square number.

227972826225 is the 238733-rd centered octagonal number.

It is an amenable number.

227972826225 is a deficient number, since it is larger than the sum of its proper divisors (185114397168).

227972826225 is an equidigital number, since it uses as much as digits as its factorization.

227972826225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 376 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 227972826225 in words is "two hundred twenty-seven billion, nine hundred seventy-two million, eight hundred twenty-six thousand, two hundred twenty-five".