226444400 has 120 divisors (see below), whose sum is σ = 669686304. Its totient is φ = 71654400.

The previous prime is 226444399. The next prime is 226444409. The reversal of 226444400 is 4444622.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 226444400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226444409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33290 + ... + 39510.

Almost surely, 2^226444400 is an apocalyptic number.

226444400 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 226444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334843152).

226444400 is an abundant number, since it is smaller than the sum of its proper divisors (443241904).

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

226444400 is a wasteful number, since it uses less digits than its factorization.

226444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6259 (or 6248 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 226444400 is about 15048.0696436453. The cubic root of 226444400 is about 609.5189255484.

It can be divided in two parts, 2264 and 44400, that added together give a palindrome (46664).

The spelling of 226444400 in words is "two hundred twenty-six million, four hundred forty-four thousand, four hundred".