223553664 has 48 divisors (see below), whose sum is σ = 643302270. Its totient is φ = 74517504.

The previous prime is 223553657. The next prime is 223553711. The reversal of 223553664 is 466355322.

It can be written as a sum of positive squares in only one way, i.e., 177422400 + 46131264 = 13320^2 + 6792^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 95877 + ... + 98180.

Almost surely, 2^223553664 is an apocalyptic number.

223553664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

223553664 is an abundant number, since it is smaller than the sum of its proper divisors (419748606).

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

223553664 is a wasteful number, since it uses less digits than its factorization.

223553664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194077 (or 194062 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 223553664 is about 14951.7110726498. The cubic root of 223553664 is about 606.9141514655.

The spelling of 223553664 in words is "two hundred twenty-three million, five hundred fifty-three thousand, six hundred sixty-four".