228559320300 has 432 divisors, whose sum is σ = 730135712768. Its totient is φ = 55132876800.

The previous prime is 228559320251. The next prime is 228559320349. The reversal of 228559320300 is 3023955822.

228559320300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (228559320251) and next prime (228559320349).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 744492747 + ... + 744493053.

Almost surely, 2^228559320300 is an apocalyptic number.

228559320300 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 228559320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365067856384).

228559320300 is an abundant number, since it is smaller than the sum of its proper divisors (501576392468).

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

228559320300 is a wasteful number, since it uses less digits than its factorization.

228559320300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 228559320300 in words is "two hundred twenty-eight billion, five hundred fifty-nine million, three hundred twenty thousand, three hundred".