228594240000 has 2400 divisors, whose sum is σ = 1076874289920. Its totient is φ = 45416448000.

The previous prime is 228594239999. The next prime is 228594240013. The reversal of 228594240000 is 42495822.

228594240000 is a `hidden beast` number, since 2 + 28 + 594 + 2 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×228594240000² (a number of 24 digits) contains 22 as substring.

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7882559986 + ... + 7882560014.

Almost surely, 2^228594240000 is an apocalyptic number.

228594240000 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 228594240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538437144960).

228594240000 is an abundant number, since it is smaller than the sum of its proper divisors (848280049920).

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

228594240000 is a wasteful number, since it uses less digits than its factorization.

228594240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 228594240000 in words is "two hundred twenty-eight billion, five hundred ninety-four million, two hundred forty thousand".