226396800 has 288 divisors, whose sum is σ = 924062880. Its totient is φ = 51701760.

The previous prime is 226396789. The next prime is 226396801. The reversal of 226396800 is 8693622.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×226396800² = 102511022100480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (226396801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 201039 + ... + 202161.

Almost surely, 2^226396800 is an apocalyptic number.

226396800 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 226396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462031440).

226396800 is an abundant number, since it is smaller than the sum of its proper divisors (697666080).

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

226396800 is a wasteful number, since it uses less digits than its factorization.

226396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 226396800 is about 15046.4879623120. The cubic root of 226396800 is about 609.4762143515.

The spelling of 226396800 in words is "two hundred twenty-six million, three hundred ninety-six thousand, eight hundred".