53032200 has 144 divisors (see below), whose sum is σ = 178359120. Its totient is φ = 13029120.

The previous prime is 53032193. The next prime is 53032283. The reversal of 53032200 is 223035.

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

It is a self number, because there is not a number n which added to its sum of digits gives 53032200.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 101139 + ... + 101661.

It is an arithmetic number, because the mean of its divisors is an integer number (1238605).

Almost surely, 2^53032200 is an apocalyptic number.

53032200 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 53032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89179560).

53032200 is an abundant number, since it is smaller than the sum of its proper divisors (125326920).

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

53032200 is a wasteful number, since it uses less digits than its factorization.

53032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 53032200 is about 7282.3210585637. The cubic root of 53032200 is about 375.7046307144.

Adding to 53032200 its reverse (223035), we get a palindrome (53255235).

It can be divided in two parts, 5303 and 2200, that added together give a triangular number (7503 = T₁₂₂).

The spelling of 53032200 in words is "fifty-three million, thirty-two thousand, two hundred".