223465344400 has 60 divisors (see below), whose sum is σ = 538315193812. Its totient is φ = 89146437120.

The previous prime is 223465344367. The next prime is 223465344439. The reversal of 223465344400 is 4443564322.

It can be written as a sum of positive squares in 6 ways, for example, as 30400014736 + 193065329664 = 174356^2 + 439392^2 .

It is a super-2 number, since 2×223465344400² (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 223465344400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 599679 + ... + 898078.

Almost surely, 2^223465344400 is an apocalyptic number.

223465344400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223465344400 is an abundant number, since it is smaller than the sum of its proper divisors (314849849412).

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

223465344400 is a wasteful number, since it uses less digits than its factorization.

223465344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498148 (or 1498137 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 37.

The spelling of 223465344400 in words is "two hundred twenty-three billion, four hundred sixty-five million, three hundred forty-four thousand, four hundred".