228920515200 has 960 divisors, whose sum is σ = 932500550520. Its totient is φ = 54942105600.

The previous prime is 228920515183. The next prime is 228920515207. The reversal of 228920515200 is 2515029822.

228920515200 is a `hidden beast` number, since 2 + 2 + 89 + 2 + 0 + 51 + 520 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 22579269696 + 206341245504 = 150264^2 + 454248^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (228920515207) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 138152772 + ... + 138154428.

Almost surely, 2^228920515200 is an apocalyptic number.

228920515200 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 228920515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466250275260).

228920515200 is an abundant number, since it is smaller than the sum of its proper divisors (703580035320).

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

228920515200 is a wasteful number, since it uses less digits than its factorization.

228920515200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 228920515200 in words is "two hundred twenty-eight billion, nine hundred twenty million, five hundred fifteen thousand, two hundred".