228692165520 has 480 divisors, whose sum is σ = 881363089152. Its totient is φ = 48030547968.

The previous prime is 228692165509. The next prime is 228692165539. The reversal of 228692165520 is 25561296822.

228692165520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 228692165520.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66151632 + ... + 66155088.

Almost surely, 2^228692165520 is an apocalyptic number.

228692165520 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 228692165520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440681544576).

228692165520 is an abundant number, since it is smaller than the sum of its proper divisors (652670923632).

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

228692165520 is a wasteful number, since it uses less digits than its factorization.

228692165520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3739 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 228692165520 in words is "two hundred twenty-eight billion, six hundred ninety-two million, one hundred sixty-five thousand, five hundred twenty".