201972232 has 96 divisors (see below), whose sum is σ = 487992960. Its totient is φ = 76665600.

The previous prime is 201972229. The next prime is 201972259. The reversal of 201972232 is 232279102.

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

It is a self number, because there is not a number n which added to its sum of digits gives 201972232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277453 + ... + 278179.

It is an arithmetic number, because the mean of its divisors is an integer number (5083260).

Almost surely, 2^201972232 is an apocalyptic number.

201972232 is a gapful number since it is divisible by the number (22) 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 201972232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243996480).

201972232 is an abundant number, since it is smaller than the sum of its proper divisors (286020728).

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

201972232 is a wasteful number, since it uses less digits than its factorization.

201972232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 201972232 is about 14211.6934951469. The cubic root of 201972232 is about 586.7195438451.

The spelling of 201972232 in words is "two hundred one million, nine hundred seventy-two thousand, two hundred thirty-two".