201896900 has 36 divisors (see below), whose sum is σ = 441344148. Its totient is φ = 80163840.

The previous prime is 201896899. The next prime is 201896917. The reversal of 201896900 is 9698102.

It can be written as a sum of positive squares in 6 ways, for example, as 1844164 + 200052736 = 1358^2 + 14144^2 .

It is a super-2 number, since 2×201896900² = 81524716459220000, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6332 + ... + 21068.

Almost surely, 2^201896900 is an apocalyptic number.

201896900 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 201896900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220672074).

201896900 is an abundant number, since it is smaller than the sum of its proper divisors (239447248).

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

201896900 is a wasteful number, since it uses less digits than its factorization.

201896900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14888 (or 14881 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 201896900 is about 14209.0428952833. The cubic root of 201896900 is about 586.6465895046.

The spelling of 201896900 in words is "two hundred one million, eight hundred ninety-six thousand, nine hundred".