228806640 has 80 divisors (see below), whose sum is σ = 788119200. Its totient is φ = 61014528.

The previous prime is 228806639. The next prime is 228806657. The reversal of 228806640 is 46608822.

228806640 is a `hidden beast` number, since 2 + 2 + 8 + 8 + 0 + 6 + 640 = 666.

228806640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 228806595 and 228806604.

It is a congruent number.

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, 50805 + ... + 55124.

It is an arithmetic number, because the mean of its divisors is an integer number (9851490).

Almost surely, 2^228806640 is an apocalyptic number.

228806640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228806640 is an abundant number, since it is smaller than the sum of its proper divisors (559312560).

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

228806640 is a wasteful number, since it uses less digits than its factorization.

228806640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105951 (or 105939 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 228806640 is about 15126.3558070012. The cubic root of 228806640 is about 611.6310733033.

The spelling of 228806640 in words is "two hundred twenty-eight million, eight hundred six thousand, six hundred forty".