228523451520 has 2048 divisors, whose sum is σ = 1022566809600. Its totient is φ = 42042654720.

The previous prime is 228523451509. The next prime is 228523451641. The reversal of 228523451520 is 25154325822.

It is a super-2 number, since 2×228523451520² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3130458204 + ... + 3130458276.

It is an arithmetic number, because the mean of its divisors is an integer number (499300200).

Almost surely, 2^228523451520 is an apocalyptic number.

228523451520 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 228523451520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511283404800).

228523451520 is an abundant number, since it is smaller than the sum of its proper divisors (794043358080).

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

228523451520 is a wasteful number, since it uses less digits than its factorization.

228523451520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The spelling of 228523451520 in words is "two hundred twenty-eight billion, five hundred twenty-three million, four hundred fifty-one thousand, five hundred twenty".