226582720 has 224 divisors, whose sum is σ = 688214016. Its totient is φ = 69120000.

The previous prime is 226582717. The next prime is 226582721. The reversal of 226582720 is 27285622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (226582721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 902595 + ... + 902845.

It is an arithmetic number, because the mean of its divisors is an integer number (3072384).

Almost surely, 2^226582720 is an apocalyptic number.

226582720 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 226582720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344107008).

226582720 is an abundant number, since it is smaller than the sum of its proper divisors (461631296).

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

226582720 is a wasteful number, since it uses less digits than its factorization.

226582720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 226582720 is about 15052.6648803459. The cubic root of 226582720 is about 609.6430053039.

The spelling of 226582720 in words is "two hundred twenty-six million, five hundred eighty-two thousand, seven hundred twenty".