228814554510300 has 72 divisors (see below), whose sum is σ = 722221939337472. Its totient is φ = 55470195032000.

The previous prime is 228814554510257. The next prime is 228814554510307. The reversal of 228814554510300 is 3015455418822.

228814554510300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×228814554510300³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 228814554510300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228814554510307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34668868596 + ... + 34668875195.

It is an arithmetic number, because the mean of its divisors is an integer number (10030860268576).

Almost surely, 2^{228814554510300} is an apocalyptic number.

228814554510300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228814554510300 is an abundant number, since it is smaller than the sum of its proper divisors (493407384827172).

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

228814554510300 is a wasteful number, since it uses less digits than its factorization.

228814554510300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69337743819 (or 69337743812 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 48.

The spelling of 228814554510300 in words is "two hundred twenty-eight trillion, eight hundred fourteen billion, five hundred fifty-four million, five hundred ten thousand, three hundred".