228232105920000 has 6000 divisors, whose sum is σ = 1114609299626592. Its totient is φ = 45984153600000.

The previous prime is 228232105919933. The next prime is 228232105920017. The reversal of 228232105920000 is 29501232822.

228232105920000 is a `hidden beast` number, since 2 + 2 + 82 + 321 + 0 + 59 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6000).

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 599 ways as a sum of consecutive naturals, for example, 379753919700 + ... + 379753920300.

Almost surely, 2^{228232105920000} is an apocalyptic number.

228232105920000 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 228232105920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557304649813296).

228232105920000 is an abundant number, since it is smaller than the sum of its proper divisors (886377193706592).

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

228232105920000 is an equidigital number, since it uses as much as digits as its factorization.

228232105920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 228232105920000 in words is "two hundred twenty-eight trillion, two hundred thirty-two billion, one hundred five million, nine hundred twenty thousand".