226659200 has 96 divisors (see below), whose sum is σ = 564353760. Its totient is φ = 89948160.

The previous prime is 226659187. The next prime is 226659203. The reversal of 226659200 is 2956622.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226659203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 617417 + ... + 617783.

It is an arithmetic number, because the mean of its divisors is an integer number (5878685).

Almost surely, 2^226659200 is an apocalyptic number.

226659200 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 226659200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282176880).

226659200 is an abundant number, since it is smaller than the sum of its proper divisors (337694560).

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

226659200 is a wasteful number, since it uses less digits than its factorization.

226659200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 226659200 is about 15055.2050799715. The cubic root of 226659200 is about 609.7115898987.

The spelling of 226659200 in words is "two hundred twenty-six million, six hundred fifty-nine thousand, two hundred".