226638720 has 576 divisors, whose sum is σ = 1006752240. Its totient is φ = 46448640.

The previous prime is 226638719. The next prime is 226638743. The reversal of 226638720 is 27836622.

226638720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3104604 + ... + 3104676.

Almost surely, 2^226638720 is an apocalyptic number.

226638720 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 226638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503376120).

226638720 is an abundant number, since it is smaller than the sum of its proper divisors (780113520).

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

226638720 is a wasteful number, since it uses less digits than its factorization.

226638720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 226638720 is about 15054.5249011717. The cubic root of 226638720 is about 609.6932256622.

The spelling of 226638720 in words is "two hundred twenty-six million, six hundred thirty-eight thousand, seven hundred twenty".