201913200 has 90 divisors (see below), whose sum is σ = 700707384. Its totient is φ = 53842560.

The previous prime is 201913183. The next prime is 201913211. The reversal of 201913200 is 2319102.

It is a happy number.

201913200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24444 + ... + 31643.

Almost surely, 2^201913200 is an apocalyptic number.

201913200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201913200 is an abundant number, since it is smaller than the sum of its proper divisors (498794184).

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

201913200 is a wasteful number, since it uses less digits than its factorization.

201913200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56111 (or 56097 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 201913200 is about 14209.6164621006. The cubic root of 201913200 is about 586.6623765756.

The spelling of 201913200 in words is "two hundred one million, nine hundred thirteen thousand, two hundred".