223132960 has 96 divisors (see below), whose sum is σ = 574257600. Its totient is φ = 81607680.

The previous prime is 223132957. The next prime is 223132961. The reversal of 223132960 is 69231322.

It is a super-3 number, since 3×223132960³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223132961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86895 + ... + 89425.

It is an arithmetic number, because the mean of its divisors is an integer number (5981850).

Almost surely, 2^223132960 is an apocalyptic number.

223132960 is a gapful number since it is divisible by the number (20) 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 223132960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287128800).

223132960 is an abundant number, since it is smaller than the sum of its proper divisors (351124640).

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

223132960 is a wasteful number, since it uses less digits than its factorization.

223132960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 223132960 is about 14937.6356897603. The cubic root of 223132960 is about 606.5331966306.

The spelling of 223132960 in words is "two hundred twenty-three million, one hundred thirty-two thousand, nine hundred sixty".