223515264 has 128 divisors (see below), whose sum is σ = 692784000. Its totient is φ = 63823872.

The previous prime is 223515211. The next prime is 223515287. The reversal of 223515264 is 462515322.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×223515264³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130864 + ... + 132560.

It is an arithmetic number, because the mean of its divisors is an integer number (5412375).

Almost surely, 2^223515264 is an apocalyptic number.

223515264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223515264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346392000).

223515264 is an abundant number, since it is smaller than the sum of its proper divisors (469268736).

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

223515264 is an equidigital number, since it uses as much as digits as its factorization.

223515264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1709 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 223515264 is about 14950.4268835375. The cubic root of 223515264 is about 606.8793994250.

The spelling of 223515264 in words is "two hundred twenty-three million, five hundred fifteen thousand, two hundred sixty-four".