228583120 has 40 divisors (see below), whose sum is σ = 532097640. Its totient is φ = 91322880.

The previous prime is 228583097. The next prime is 228583123. The reversal of 228583120 is 21385822.

It can be written as a sum of positive squares in 4 ways, for example, as 2742336 + 225840784 = 1656^2 + 15028^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228583123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109446 + ... + 111514.

It is an arithmetic number, because the mean of its divisors is an integer number (13302441).

Almost surely, 2^228583120 is an apocalyptic number.

228583120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228583120 is an abundant number, since it is smaller than the sum of its proper divisors (303514520).

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

228583120 is a wasteful number, since it uses less digits than its factorization.

228583120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3463 (or 3457 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 228583120 is about 15118.9655730807. The cubic root of 228583120 is about 611.4318420232.

The spelling of 228583120 in words is "two hundred twenty-eight million, five hundred eighty-three thousand, one hundred twenty".