228820680 has 384 divisors, whose sum is σ = 896313600. Its totient is φ = 51701760.

The previous prime is 228820649. The next prime is 228820687. The reversal of 228820680 is 86028822.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (228820687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2221509 + ... + 2221611.

It is an arithmetic number, because the mean of its divisors is an integer number (2334150).

Almost surely, 2^228820680 is an apocalyptic number.

228820680 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 228820680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448156800).

228820680 is an abundant number, since it is smaller than the sum of its proper divisors (667492920).

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

228820680 is a wasteful number, since it uses less digits than its factorization.

228820680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 228820680 is about 15126.8198905123. The cubic root of 228820680 is about 611.6435833200.

The spelling of 228820680 in words is "two hundred twenty-eight million, eight hundred twenty thousand, six hundred eighty".