228059712000 has 1600 divisors, whose sum is σ = 924569886240. Its totient is φ = 55738368000.

The previous prime is 228059711969. The next prime is 228059712007. The reversal of 228059712000 is 217950822.

It can be written as a sum of positive squares in 16 ways, for example, as 14526998784 + 213532713216 = 120528^2 + 462096^2 .

It is a tau number, because it is divible by the number of its divisors (1600).

It is a super-2 number, since 2×228059712000² (a number of 24 digits) contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (228059712007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5562431980 + ... + 5562432020.

Almost surely, 2^228059712000 is an apocalyptic number.

228059712000 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 228059712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462284943120).

228059712000 is an abundant number, since it is smaller than the sum of its proper divisors (696510174240).

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

228059712000 is an equidigital number, since it uses as much as digits as its factorization.

228059712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 228059712000 in words is "two hundred twenty-eight billion, fifty-nine million, seven hundred twelve thousand".