152226820 has 48 divisors (see below), whose sum is σ = 325105200. Its totient is φ = 59867136.

The previous prime is 152226817. The next prime is 152226839. The reversal of 152226820 is 28622251.

It can be written as a sum of positive squares in 8 ways, for example, as 24265476 + 127961344 = 4926^2 + 11312^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436006 + ... + 436354.

It is an arithmetic number, because the mean of its divisors is an integer number (6773025).

Almost surely, 2^152226820 is an apocalyptic number.

152226820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152226820 is an abundant number, since it is smaller than the sum of its proper divisors (172878380).

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

152226820 is a wasteful number, since it uses less digits than its factorization.

152226820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 152226820 is about 12338.0233424970. The cubic root of 152226820 is about 533.9456569611.

The spelling of 152226820 in words is "one hundred fifty-two million, two hundred twenty-six thousand, eight hundred twenty".