228465120 has 384 divisors, whose sum is σ = 853493760. Its totient is φ = 50872320.

The previous prime is 228465067. The next prime is 228465143. The reversal of 228465120 is 21564822.

228465120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×228465120² = 104392622113228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4860937 + ... + 4860983.

It is an arithmetic number, because the mean of its divisors is an integer number (2222640).

Almost surely, 2^228465120 is an apocalyptic number.

228465120 is a gapful number since it is divisible by the number (20) 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 228465120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426746880).

228465120 is an abundant number, since it is smaller than the sum of its proper divisors (625028640).

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

228465120 is a wasteful number, since it uses less digits than its factorization.

228465120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 228465120 is about 15115.0626859434. The cubic root of 228465120 is about 611.3266120658.

It can be divided in two parts, 22846 and 5120, that added together give a triangular number (27966 = T₂₃₆).

The spelling of 228465120 in words is "two hundred twenty-eight million, four hundred sixty-five thousand, one hundred twenty".