226376900 has 72 divisors (see below), whose sum is σ = 511842240. Its totient is φ = 86800000.

The previous prime is 226376893. The next prime is 226376903. The reversal of 226376900 is 9673622.

It is a happy number.

It is a super-2 number, since 2×226376900² = 102493001707220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226376903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 727745 + ... + 728055.

It is an arithmetic number, because the mean of its divisors is an integer number (7108920).

Almost surely, 2^226376900 is an apocalyptic number.

226376900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226376900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255921120).

226376900 is an abundant number, since it is smaller than the sum of its proper divisors (285465340).

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

226376900 is a wasteful number, since it uses less digits than its factorization.

226376900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 226376900 is about 15045.8266638959. The cubic root of 226376900 is about 609.4583564253.

The spelling of 226376900 in words is "two hundred twenty-six million, three hundred seventy-six thousand, nine hundred".