226314600 has 96 divisors (see below), whose sum is σ = 711323520. Its totient is φ = 59512320.

The previous prime is 226314593. The next prime is 226314631. The reversal of 226314600 is 6413622.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41217 + ... + 46383.

It is an arithmetic number, because the mean of its divisors is an integer number (7409620).

Almost surely, 2^226314600 is an apocalyptic number.

226314600 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 226314600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355661760).

226314600 is an abundant number, since it is smaller than the sum of its proper divisors (485008920).

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

226314600 is a wasteful number, since it uses less digits than its factorization.

226314600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5259 (or 5250 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 226314600 is about 15043.7561798907. The cubic root of 226314600 is about 609.4024426826.

The spelling of 226314600 in words is "two hundred twenty-six million, three hundred fourteen thousand, six hundred".