228471516000 has 2304 divisors, whose sum is σ = 1080416413440. Its totient is φ = 47029248000.

The previous prime is 228471515981. The next prime is 228471516017. The reversal of 228471516000 is 615174822.

228471516000 is a `hidden beast` number, since 2 + 2 + 8 + 47 + 1 + 5 + 1 + 600 + 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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5572475980 + ... + 5572476020.

It is an arithmetic number, because the mean of its divisors is an integer number (468930735).

Almost surely, 2^228471516000 is an apocalyptic number.

228471516000 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 228471516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540208206720).

228471516000 is an abundant number, since it is smaller than the sum of its proper divisors (851944897440).

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

228471516000 is an equidigital number, since it uses as much as digits as its factorization.

228471516000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 228471516000 in words is "two hundred twenty-eight billion, four hundred seventy-one million, five hundred sixteen thousand".