226582900 has 36 divisors (see below), whose sum is σ = 492741900. Its totient is φ = 90438400.

The previous prime is 226582861. The next prime is 226582901. The reversal of 226582900 is 9285622.

226582900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 65901924 + 160680976 = 8118^2 + 12676^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226582901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49926 + ... + 54274.

It is an arithmetic number, because the mean of its divisors is an integer number (13687275).

Almost surely, 2^226582900 is an apocalyptic number.

226582900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226582900 is an abundant number, since it is smaller than the sum of its proper divisors (266159000).

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

226582900 is a wasteful number, since it uses less digits than its factorization.

226582900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4884 (or 4877 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 226582900 is about 15052.6708593525. The cubic root of 226582900 is about 609.6431667397.

The spelling of 226582900 in words is "two hundred twenty-six million, five hundred eighty-two thousand, nine hundred".