252022144 has 64 divisors (see below), whose sum is σ = 579992400. Its totient is φ = 107806720.

The previous prime is 252022139. The next prime is 252022159. The reversal of 252022144 is 441220252.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×252022144² = 127030322132713472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 18672 + ... + 29200.

Almost surely, 2^252022144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289996200).

252022144 is an abundant number, since it is smaller than the sum of its proper divisors (327970256).

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

252022144 is a wasteful number, since it uses less digits than its factorization.

252022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10571 (or 10559 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 252022144 is about 15875.2053215069. The cubic root of 252022144 is about 631.6544604760.

Adding to 252022144 its reverse (441220252), we get a palindrome (693242396).

The spelling of 252022144 in words is "two hundred fifty-two million, twenty-two thousand, one hundred forty-four".