52252200 has 576 divisors, whose sum is σ = 243734400. Its totient is φ = 9676800.

The previous prime is 52252199. The next prime is 52252247. The reversal of 52252200 is 225225.

52252200 = 455² + 456² + ... + 630².

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1801786 + ... + 1801814.

It is an arithmetic number, because the mean of its divisors is an integer number (423150).

Almost surely, 2^52252200 is an apocalyptic number.

52252200 is a gapful number since it is divisible by the number (50) 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 52252200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121867200).

52252200 is an abundant number, since it is smaller than the sum of its proper divisors (191482200).

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

52252200 is a wasteful number, since it uses less digits than its factorization.

52252200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 52252200 is about 7228.5683229807. The cubic root of 52252200 is about 373.8535654055.

Adding to 52252200 its reverse (225225), we get a palindrome (52477425).

52252200 divided by its reverse (225225) gives a palindrome (232).

It can be divided in two parts, 522 and 52200, that multiplied together give a square (27248400 = 5220²).

The spelling of 52252200 in words is "fifty-two million, two hundred fifty-two thousand, two hundred".