226418400 has 432 divisors, whose sum is σ = 895723920. Its totient is φ = 53452800.

The previous prime is 226418377. The next prime is 226418443. The reversal of 226418400 is 4814622.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3837571 + ... + 3837629.

It is an arithmetic number, because the mean of its divisors is an integer number (2073435).

Almost surely, 2^226418400 is an apocalyptic number.

226418400 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 226418400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447861960).

226418400 is an abundant number, since it is smaller than the sum of its proper divisors (669305520).

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

226418400 is a wasteful number, since it uses less digits than its factorization.

226418400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 226418400 is about 15047.2057206646. The cubic root of 226418400 is about 609.4955966449.

The spelling of 226418400 in words is "two hundred twenty-six million, four hundred eighteen thousand, four hundred".