223993952 has 144 divisors (see below), whose sum is σ = 560401632. Its totient is φ = 86261760.

The previous prime is 223993937. The next prime is 223993961. The reversal of 223993952 is 259399322.

Its product of digits (262440) is a multiple of the sum of its prime divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2309168 + ... + 2309264.

It is an arithmetic number, because the mean of its divisors is an integer number (3891678).

Almost surely, 2^223993952 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 223993952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280200816).

223993952 is an abundant number, since it is smaller than the sum of its proper divisors (336407680).

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

223993952 is a wasteful number, since it uses less digits than its factorization.

223993952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 180 counting only the distinct ones).

The product of its digits is 262440, while the sum is 44.

The square root of 223993952 is about 14966.4274962330. The cubic root of 223993952 is about 607.3123284658.

The spelling of 223993952 in words is "two hundred twenty-three million, nine hundred ninety-three thousand, nine hundred fifty-two".