252231000 has 128 divisors (see below), whose sum is σ = 899458560. Its totient is φ = 57648000.

The previous prime is 252230983. The next prime is 252231011. The reversal of 252231000 is 132252.

252231000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252231000² = 127240954722000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14995 + ... + 27005.

It is an arithmetic number, because the mean of its divisors is an integer number (7027020).

Almost surely, 2^252231000 is an apocalyptic number.

252231000 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 252231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449729280).

252231000 is an abundant number, since it is smaller than the sum of its proper divisors (647227560).

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

252231000 is a wasteful number, since it uses less digits than its factorization.

252231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12042 (or 12028 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 252231000 is about 15881.7820158822. The cubic root of 252231000 is about 631.8289007001.

Adding to 252231000 its reverse (132252), we get a palindrome (252363252).

The spelling of 252231000 in words is "two hundred fifty-two million, two hundred thirty-one thousand".