226585300 has 36 divisors (see below), whose sum is σ = 492648156. Its totient is φ = 90457600.

The previous prime is 226585291. The next prime is 226585309. The reversal of 226585300 is 3585622.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (226585291) and next prime (226585309).

It can be written as a sum of positive squares in 6 ways, for example, as 4813636 + 221771664 = 2194^2 + 14892^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226585309) 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 11 ways as a sum of consecutive naturals, for example, 57390 + ... + 61210.

It is an arithmetic number, because the mean of its divisors is an integer number (13684671).

Almost surely, 2^226585300 is an apocalyptic number.

226585300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226585300 is an abundant number, since it is smaller than the sum of its proper divisors (266062856).

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

226585300 is a wasteful number, since it uses less digits than its factorization.

226585300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4428 (or 4421 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 226585300 is about 15052.7505792131. The cubic root of 226585300 is about 609.6453192094.

The spelling of 226585300 in words is "two hundred twenty-six million, five hundred eighty-five thousand, three hundred".