228902600 has 48 divisors (see below), whose sum is σ = 534223620. Its totient is φ = 91212800.

The previous prime is 228902599. The next prime is 228902623. The reversal of 228902600 is 6209822.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 54081316 + 174821284 = 7354^2 + 13222^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 54164 + ... + 58236.

Almost surely, 2^228902600 is an apocalyptic number.

228902600 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 228902600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267111810).

228902600 is an abundant number, since it is smaller than the sum of its proper divisors (305321020).

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

228902600 is a wasteful number, since it uses less digits than its factorization.

228902600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4370 (or 4361 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 228902600 is about 15129.5274215687. The cubic root of 228902600 is about 611.7165660359.

The spelling of 228902600 in words is "two hundred twenty-eight million, nine hundred two thousand, six hundred".