226317600 has 324 divisors, whose sum is σ = 865104786. Its totient is φ = 55480320.

The previous prime is 226317599. The next prime is 226317601. The reversal of 226317600 is 6713622.

It is a happy number.

226317600 is a `hidden beast` number, since 2 + 26 + 31 + 7 + 600 = 666.

226317600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (226317599) and next prime (226317601).

It can be written as a sum of positive squares in 3 ways, for example, as 194100624 + 32216976 = 13932^2 + 5676^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226317601) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5263179 + ... + 5263221.

Almost surely, 2^226317600 is an apocalyptic number.

226317600 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 226317600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432552393).

226317600 is an abundant number, since it is smaller than the sum of its proper divisors (638787186).

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

226317600 is a wasteful number, since it uses less digits than its factorization.

226317600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 226317600 is about 15043.8558887009. The cubic root of 226317600 is about 609.4051353933.

The spelling of 226317600 in words is "two hundred twenty-six million, three hundred seventeen thousand, six hundred".