223265952 has 216 divisors, whose sum is σ = 796038516. Its totient is φ = 58834944.

The previous prime is 223265893. The next prime is 223265969. The reversal of 223265952 is 259562322.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 206324496 + 16941456 = 14364^2 + 4116^2 .

It is a super-3 number, since 3×223265952³ (a number of 26 digits) contains 333 as substring.

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 35 ways as a sum of consecutive naturals, for example, 182848 + ... + 184064.

Almost surely, 2^223265952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223265952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398019258).

223265952 is an abundant number, since it is smaller than the sum of its proper divisors (572772564).

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

223265952 is a wasteful number, since it uses less digits than its factorization.

223265952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1242 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 223265952 is about 14942.0866012749. The cubic root of 223265952 is about 606.6536749355.

The spelling of 223265952 in words is "two hundred twenty-three million, two hundred sixty-five thousand, nine hundred fifty-two".