223085952 has 96 divisors (see below), whose sum is σ = 645868080. Its totient is φ = 73909248.

The previous prime is 223085911. The next prime is 223085971. The reversal of 223085952 is 259580322.

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

It is a super-3 number, since 3×223085952³ (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 226453 + ... + 227435.

Almost surely, 2^223085952 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 223085952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322934040).

223085952 is an abundant number, since it is smaller than the sum of its proper divisors (422782128).

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

223085952 is a wasteful number, since it uses less digits than its factorization.

223085952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 223085952 is about 14936.0621316330. The cubic root of 223085952 is about 606.4906003314.

The spelling of 223085952 in words is "two hundred twenty-three million, eighty-five thousand, nine hundred fifty-two".