201980944 has 135 divisors (see below), whose sum is σ = 482254941. Its totient is φ = 81861120.

The previous prime is 201980941. The next prime is 201980951. The reversal of 201980944 is 449089102.

It is a happy number.

The square root of 201980944 is 14212.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 157251600 + 44729344 = 12540^2 + 6688^2 .

It is a super-2 number, since 2×201980944² = 81592603478262272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201980941) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 10630567 + ... + 10630585.

Almost surely, 2^201980944 is an apocalyptic number.

201980944 is the 14212-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201980944

201980944 is an abundant number, since it is smaller than the sum of its proper divisors (280273997).

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

201980944 is a wasteful number, since it uses less digits than its factorization.

201980944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The cubic root of 201980944 is about 586.7279797030.

Multiplying 201980944 by its product of nonzero digits (20736), we get a square (4188276854784 = 2046528²).

The spelling of 201980944 in words is "two hundred one million, nine hundred eighty thousand, nine hundred forty-four".