202252200 has 96 divisors (see below), whose sum is σ = 629156160. Its totient is φ = 53747200.

The previous prime is 202252181. The next prime is 202252201. The reversal of 202252200 is 2252202.

202252200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 202252200.

It is not an unprimeable number, because it can be changed into a prime (202252201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312277 + ... + 312923.

It is an arithmetic number, because the mean of its divisors is an integer number (6553710).

Almost surely, 2^202252200 is an apocalyptic number.

202252200 is a gapful number since it is divisible by the number (20) 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 202252200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314578080).

202252200 is an abundant number, since it is smaller than the sum of its proper divisors (426903960).

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

202252200 is a wasteful number, since it uses less digits than its factorization.

202252200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 202252200 is about 14221.5400009985. The cubic root of 202252200 is about 586.9905165019.

The spelling of 202252200 in words is "two hundred two million, two hundred fifty-two thousand, two hundred".