252814224 has 80 divisors (see below), whose sum is σ = 705857600. Its totient is φ = 77511168.

The previous prime is 252814217. The next prime is 252814231. The reversal of 252814224 is 422418252.

It is an interprime number because it is at equal distance from previous prime (252814217) and next prime (252814231).

It is a junction number, because it is equal to n+sod(n) for n = 252814191 and 252814200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235962 + ... + 237030.

It is an arithmetic number, because the mean of its divisors is an integer number (8823220).

Almost surely, 2^252814224 is an apocalyptic number.

252814224 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 252814224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352928800).

252814224 is an abundant number, since it is smaller than the sum of its proper divisors (453043376).

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

252814224 is a wasteful number, since it uses less digits than its factorization.

252814224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1466 counting only the distinct ones).

The product of its digits is 10240, while the sum is 30.

The square root of 252814224 is about 15900.1328296338. The cubic root of 252814224 is about 632.3155103582.

The spelling of 252814224 in words is "two hundred fifty-two million, eight hundred fourteen thousand, two hundred twenty-four".