223431264 has 96 divisors (see below), whose sum is σ = 744791040. Its totient is φ = 63835776.

The previous prime is 223431259. The next prime is 223431281. The reversal of 223431264 is 462134322.

223431264 is a `hidden beast` number, since 223 + 431 + 2 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12424 + ... + 24519.

It is an arithmetic number, because the mean of its divisors is an integer number (7758240).

Almost surely, 2^223431264 is an apocalyptic number.

223431264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

223431264 is an abundant number, since it is smaller than the sum of its proper divisors (521359776).

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

223431264 is a wasteful number, since it uses less digits than its factorization.

223431264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36969 (or 36955 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 223431264 is about 14947.6173352143. The cubic root of 223431264 is about 606.8033654575.

Adding to 223431264 its reverse (462134322), we get a palindrome (685565586).

The spelling of 223431264 in words is "two hundred twenty-three million, four hundred thirty-one thousand, two hundred sixty-four".