202255200 has 216 divisors, whose sum is σ = 815291568. Its totient is φ = 46218240.

The previous prime is 202255189. The next prime is 202255201. The reversal of 202255200 is 2552202.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202255201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48394 + ... + 52406.

It is an arithmetic number, because the mean of its divisors is an integer number (3774498).

Almost surely, 2^202255200 is an apocalyptic number.

202255200 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 202255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407645784).

202255200 is an abundant number, since it is smaller than the sum of its proper divisors (613036368).

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

202255200 is a wasteful number, since it uses less digits than its factorization.

202255200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4046 (or 4030 counting only the distinct ones).

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

The square root of 202255200 is about 14221.6454744168. The cubic root of 202255200 is about 586.9934187577.

It can be divided in two parts, 20225 and 5200, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 202255200 in words is "two hundred two million, two hundred fifty-five thousand, two hundred".