252200320 has 32 divisors (see below), whose sum is σ = 602917920. Its totient is φ = 100879872.

The previous prime is 252200309. The next prime is 252200323. The reversal of 252200320 is 23002252.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 252200294 and 252200303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252200323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 196392 + ... + 197671.

It is an arithmetic number, because the mean of its divisors is an integer number (18841185).

Almost surely, 2^252200320 is an apocalyptic number.

252200320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252200320 is an abundant number, since it is smaller than the sum of its proper divisors (350717600).

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

252200320 is an equidigital number, since it uses as much as digits as its factorization.

252200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394082 (or 394070 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 252200320 is about 15880.8160999364. The cubic root of 252200320 is about 631.8032822568.

Adding to 252200320 its reverse (23002252), we get a palindrome (275202572).

The spelling of 252200320 in words is "two hundred fifty-two million, two hundred thousand, three hundred twenty".