53302200 has 240 divisors, whose sum is σ = 197974680. Its totient is φ = 11854080.

The previous prime is 53302159. The next prime is 53302219. The reversal of 53302200 is 220335.

It is a super-2 number, since 2×53302200² = 5682249049680000, which contains 22 as substring.

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 53302200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1440582 + ... + 1440618.

Almost surely, 2^53302200 is an apocalyptic number.

53302200 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 53302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98987340).

53302200 is an abundant number, since it is smaller than the sum of its proper divisors (144672480).

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

53302200 is a wasteful number, since it uses less digits than its factorization.

53302200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 54 counting only the distinct ones).

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

The square root of 53302200 is about 7300.8355686182. The cubic root of 53302200 is about 376.3411533248.

Adding to 53302200 its reverse (220335), we get a palindrome (53522535).

It can be divided in two parts, 53 and 302200, that added together give a triangular number (302253 = T₇₇₇).

The spelling of 53302200 in words is "fifty-three million, three hundred two thousand, two hundred".