228977331840 has 320 divisors, whose sum is σ = 819015860520. Its totient is φ = 60963840000.

The previous prime is 228977331829. The next prime is 228977331857. The reversal of 228977331840 is 48133779822.

228977331840 is a `hidden beast` number, since 2 + 289 + 7 + 7 + 3 + 318 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 219765939264 + 9211392576 = 468792^2 + 95976^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36336690 + ... + 36342990.

Almost surely, 2^228977331840 is an apocalyptic number.

228977331840 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 228977331840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409507930260).

228977331840 is an abundant number, since it is smaller than the sum of its proper divisors (590038528680).

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

228977331840 is an equidigital number, since it uses as much as digits as its factorization.

228977331840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7033 (or 7012 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 228977331840 in words is "two hundred twenty-eight billion, nine hundred seventy-seven million, three hundred thirty-one thousand, eight hundred forty".