228312100 has 27 divisors (see below), whose sum is σ = 495765361. Its totient is φ = 91264400.

The previous prime is 228312061. The next prime is 228312107. The reversal of 228312100 is 1213822.

The square root of 228312100 is 15110.

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

It can be written as a sum of positive squares in only one way, i.e., 82192356 + 146119744 = 9066^2 + 12088^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (228312107) 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 8 ways as a sum of consecutive naturals, for example, 150345 + ... + 151855.

Almost surely, 2^228312100 is an apocalyptic number.

228312100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

228312100 is the 15110-th square number.

It is an amenable number.

228312100 is an abundant number, since it is smaller than the sum of its proper divisors (267453261).

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

228312100 is an equidigital number, since it uses as much as digits as its factorization.

228312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3036 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The cubic root of 228312100 is about 611.1900980243.

Adding to 228312100 its reverse (1213822), we get a palindrome (229525922).

The spelling of 228312100 in words is "two hundred twenty-eight million, three hundred twelve thousand, one hundred".