223864641 has 120 divisors (see below), whose sum is σ = 454208832. Its totient is φ = 106920000.

The previous prime is 223864607. The next prime is 223864657. The reversal of 223864641 is 146468322.

223864641 is a `hidden beast` number, since 2 + 2 + 3 + 8 + 6 + 4 + 641 = 666.

It is not a de Polignac number, because 223864641 - 2⁷ = 223864513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 223864596 and 223864605.

It is not an unprimeable number, because it can be changed into a prime (223864691) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 891766 + ... + 892016.

Almost surely, 2^223864641 is an apocalyptic number.

223864641 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

223864641 is an abundant number, since it is smaller than the sum of its proper divisors (230344191).

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

223864641 is a wasteful number, since it uses less digits than its factorization.

223864641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 285 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 223864641 is about 14962.1068369398. The cubic root of 223864641 is about 607.1954394743.

The spelling of 223864641 in words is "two hundred twenty-three million, eight hundred sixty-four thousand, six hundred forty-one".