228024115200 has 1344 divisors, whose sum is σ = 986817553920. Its totient is φ = 50536120320.

The previous prime is 228024115171. The next prime is 228024115211. The reversal of 228024115200 is 2511420822.

228024115200 is a `hidden beast` number, since 22 + 80 + 2 + 41 + 1 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×228024115200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1664409532 + ... + 1664409668.

Almost surely, 2^228024115200 is an apocalyptic number.

228024115200 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 228024115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493408776960).

228024115200 is an abundant number, since it is smaller than the sum of its proper divisors (758793438720).

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

228024115200 is a wasteful number, since it uses less digits than its factorization.

228024115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 228024115200 in words is "two hundred twenty-eight billion, twenty-four million, one hundred fifteen thousand, two hundred".