201882016 has 48 divisors (see below), whose sum is σ = 455220864. Its totient is φ = 86333184.

The previous prime is 201881989. The next prime is 201882029. The reversal of 201882016 is 610288102.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165826 + ... + 167038.

It is an arithmetic number, because the mean of its divisors is an integer number (9483768).

Almost surely, 2^201882016 is an apocalyptic number.

It is an amenable number.

201882016 is an abundant number, since it is smaller than the sum of its proper divisors (253338848).

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

201882016 is a wasteful number, since it uses less digits than its factorization.

201882016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 201882016 is about 14208.5191346600. The cubic root of 201882016 is about 586.6321731327.

The spelling of 201882016 in words is "two hundred one million, eight hundred eighty-two thousand, sixteen".