228593664 has 260 divisors, whose sum is σ = 749279916. Its totient is φ = 69009408.

The previous prime is 228593663. The next prime is 228593669. The reversal of 228593664 is 466395822.

228593664 is a `hidden beast` number, since 2 + 285 + 9 + 366 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 95883264 + 132710400 = 9792^2 + 11520^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228593663) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4313062 + ... + 4313114.

Almost surely, 2^228593664 is an apocalyptic number.

228593664 is a gapful number since it is divisible by the number (24) 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 228593664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374639958).

228593664 is an abundant number, since it is smaller than the sum of its proper divisors (520686252).

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

228593664 is an equidigital number, since it uses as much as digits as its factorization.

228593664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 71 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 228593664 is about 15119.3142701645. The cubic root of 228593664 is about 611.4412431814.

The spelling of 228593664 in words is "two hundred twenty-eight million, five hundred ninety-three thousand, six hundred sixty-four".