226319200 has 72 divisors (see below), whose sum is σ = 559651680. Its totient is φ = 89356800.

The previous prime is 226319183. The next prime is 226319213. The reversal of 226319200 is 2913622.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61410 + ... + 64990.

It is an arithmetic number, because the mean of its divisors is an integer number (7772940).

Almost surely, 2^226319200 is an apocalyptic number.

226319200 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 226319200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279825840).

226319200 is an abundant number, since it is smaller than the sum of its proper divisors (333332480).

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

226319200 is a wasteful number, since it uses less digits than its factorization.

226319200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3680 (or 3667 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 226319200 is about 15043.9090664627. The cubic root of 226319200 is about 609.4065714960.

The spelling of 226319200 in words is "two hundred twenty-six million, three hundred nineteen thousand, two hundred".