228916900 has 81 divisors (see below), whose sum is σ = 533684809. Its totient is φ = 85212160.

The previous prime is 228916889. The next prime is 228916901. The reversal of 228916900 is 9619822.

The square root of 228916900 is 15130.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 154405476 + 74511424 = 12426^2 + 8632^2 .

It is a super-2 number, since 2×228916900² = 104805894211220000, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 228916900.

It is not an unprimeable number, because it can be changed into a prime (228916901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2572056 + ... + 2572144.

Almost surely, 2^228916900 is an apocalyptic number.

228916900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

228916900 is the 15130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228916900

228916900 is an abundant number, since it is smaller than the sum of its proper divisors (304767909).

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

228916900 is a wasteful number, since it uses less digits than its factorization.

228916900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The cubic root of 228916900 is about 611.7293041535.

It can be divided in two parts, 22891 and 6900, that added together give a cube (29791 = 31³).

The spelling of 228916900 in words is "two hundred twenty-eight million, nine hundred sixteen thousand, nine hundred".