231221952 has 280 divisors, whose sum is σ = 764170176. Its totient is φ = 68677632.

The previous prime is 231221951. The next prime is 231221957. The reversal of 231221952 is 259122132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (231221951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3167388 + ... + 3167460.

Almost surely, 2^231221952 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 231221952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382085088).

231221952 is an abundant number, since it is smaller than the sum of its proper divisors (532948224).

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

231221952 is a wasteful number, since it uses less digits than its factorization.

231221952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 138 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 231221952 is about 15205.9840852212. The cubic root of 231221952 is about 613.7756964145.

The spelling of 231221952 in words is "two hundred thirty-one million, two hundred twenty-one thousand, nine hundred fifty-two".