152893220 has 24 divisors (see below), whose sum is σ = 332148600. Its totient is φ = 59048192.

The previous prime is 152893219. The next prime is 152893229. The reversal of 152893220 is 22398251.

It is a happy number.

152893220 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 173056 + 152720164 = 416^2 + 12358^2 .

It is not an unprimeable number, because it can be changed into a prime (152893229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131225 + ... + 132384.

It is an arithmetic number, because the mean of its divisors is an integer number (13839525).

Almost surely, 2^152893220 is an apocalyptic number.

152893220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152893220 is an abundant number, since it is smaller than the sum of its proper divisors (179255380).

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

152893220 is a wasteful number, since it uses less digits than its factorization.

152893220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263647 (or 263645 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 152893220 is about 12364.9997978164. Note that the first 3 decimals coincide. The cubic root of 152893220 is about 534.7236701502.

The spelling of 152893220 in words is "one hundred fifty-two million, eight hundred ninety-three thousand, two hundred twenty".