252280224 has 288 divisors, whose sum is σ = 879076800. Its totient is φ = 70156800.

The previous prime is 252280211. The next prime is 252280277. The reversal of 252280224 is 422082252.

252280224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×252280224² = 127290622842980352, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2497774 + ... + 2497874.

It is an arithmetic number, because the mean of its divisors is an integer number (3052350).

Almost surely, 2^252280224 is an apocalyptic number.

252280224 is a gapful number since it is divisible by the number (24) 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 252280224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439538400).

252280224 is an abundant number, since it is smaller than the sum of its proper divisors (626796576).

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

252280224 is a wasteful number, since it uses less digits than its factorization.

252280224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 252280224 is about 15883.3316404336. The cubic root of 252280224 is about 631.8699994321.

The spelling of 252280224 in words is "two hundred fifty-two million, two hundred eighty thousand, two hundred twenty-four".