226960100 has 18 divisors (see below), whose sum is σ = 492503634. Its totient is φ = 90784000.

The previous prime is 226960093. The next prime is 226960141. The reversal of 226960100 is 1069622.

It can be written as a sum of positive squares in 3 ways, for example, as 2439844 + 224520256 = 1562^2 + 14984^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 226960100.

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 5 ways as a sum of consecutive naturals, for example, 1134701 + ... + 1134900.

It is an arithmetic number, because the mean of its divisors is an integer number (27361313).

Almost surely, 2^226960100 is an apocalyptic number.

226960100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226960100 is an abundant number, since it is smaller than the sum of its proper divisors (265543534).

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

226960100 is a wasteful number, since it uses less digits than its factorization.

226960100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269615 (or 2269608 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 226960100 is about 15065.1949871218. The cubic root of 226960100 is about 609.9812768597.

The spelling of 226960100 in words is "two hundred twenty-six million, nine hundred sixty thousand, one hundred".