228117643200 has 840 divisors, whose sum is σ = 884643522048. Its totient is φ = 57544058880.

The previous prime is 228117643163. The next prime is 228117643211. The reversal of 228117643200 is 2346711822.

It is a happy number.

228117643200 is a `hidden beast` number, since 2 + 2 + 8 + 1 + 1 + 7 + 643 + 2 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 307022029 + ... + 307022771.

Almost surely, 2^228117643200 is an apocalyptic number.

228117643200 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 228117643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442321761024).

228117643200 is an abundant number, since it is smaller than the sum of its proper divisors (656525878848).

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

228117643200 is a wasteful number, since it uses less digits than its factorization.

228117643200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 228117643200 in words is "two hundred twenty-eight billion, one hundred seventeen million, six hundred forty-three thousand, two hundred".