201932016 has 240 divisors, whose sum is σ = 644815872. Its totient is φ = 53913600.

The previous prime is 201931993. The next prime is 201932033. The reversal of 201932016 is 610239102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2766156 + ... + 2766228.

Almost surely, 2^201932016 is an apocalyptic number.

201932016 is a gapful number since it is divisible by the number (26) 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 201932016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322407936).

201932016 is an abundant number, since it is smaller than the sum of its proper divisors (442883856).

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

201932016 is a wasteful number, since it uses less digits than its factorization.

201932016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 201932016 is about 14210.2785335123. The cubic root of 201932016 is about 586.6805994166.

The spelling of 201932016 in words is "two hundred one million, nine hundred thirty-two thousand, sixteen".