152224256 has 40 divisors (see below), whose sum is σ = 322060860. Its totient is φ = 71630848.

The previous prime is 152224207. The next prime is 152224283. The reversal of 152224256 is 652422251.

It can be written as a sum of positive squares in 2 ways, for example, as 144384256 + 7840000 = 12016^2 + 2800^2 .

It is a super-2 number, since 2×152224256² = 46344448229507072, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41 + ... + 17448.

Almost surely, 2^152224256 is an apocalyptic number.

152224256 is a gapful number since it is divisible by the number (16) 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 152224256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161030430).

152224256 is an abundant number, since it is smaller than the sum of its proper divisors (169836604).

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

152224256 is an equidigital number, since it uses as much as digits as its factorization.

152224256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17524 (or 17508 counting only the distinct ones).

The product of its digits is 9600, while the sum is 29.

The square root of 152224256 is about 12337.9194356261. The cubic root of 152224256 is about 533.9426591443.

The spelling of 152224256 in words is "one hundred fifty-two million, two hundred twenty-four thousand, two hundred fifty-six".