201001582224 has 45 divisors (see below), whose sum is σ = 562540318249. Its totient is φ = 66998734080.

The previous prime is 201001582181. The next prime is 201001582253. The reversal of 201001582224 is 422285100102.

The square root of 201001582224 is 448332.

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., 139179732624 + 61821849600 = 373068^2 + 248640^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5361304 + ... + 5398664.

Almost surely, 2^201001582224 is an apocalyptic number.

201001582224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

201001582224 is the 448332-nd square number.

It is an amenable number.

201001582224 is an abundant number, since it is smaller than the sum of its proper divisors (361538736025).

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

201001582224 is an frugal number, since it uses more digits than its factorization.

201001582224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74736 (or 37366 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 201001582224 its reverse (422285100102), we get a palindrome (623286682326).

It can be divided in two parts, 201001 and 582224, that added together give a square (783225 = 885²).

The spelling of 201001582224 in words is "two hundred one billion, one million, five hundred eighty-two thousand, two hundred twenty-four".