222760400625 has 405 divisors, whose sum is σ = 500537529063. Its totient is φ = 95150160000.

The previous prime is 222760400557. The next prime is 222760400651. The reversal of 222760400625 is 526004067222.

The square root of 222760400625 is 471975.

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

222760400625 is a `hidden beast` number, since 2 + 2 + 27 + 6 + 0 + 4 + 0 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 166608463329 + 56151937296 = 408177^2 + 236964^2 .

It is not a de Polignac number, because 222760400625 - 2²⁹ = 222223529713 is a prime.

It is a super-2 number, since 2×222760400625² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 222760400625.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 7185819360 + ... + 7185819390.

Almost surely, 2^222760400625 is an apocalyptic number.

222760400625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

222760400625 is the 471975-th square number.

222760400625 is the 235988-th centered octagonal number.

It is an amenable number.

222760400625 is an abundant number, since it is smaller than the sum of its proper divisors (277777128438).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

222760400625 is an equidigital number, since it uses as much as digits as its factorization.

222760400625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Multiplying 222760400625 by its sum of digits (36), we get a square (8019374422500 = 2831850²).

Adding to 222760400625 its reverse (526004067222), we get a palindrome (748764467847).

The spelling of 222760400625 in words is "two hundred twenty-two billion, seven hundred sixty million, four hundred thousand, six hundred twenty-five".