226253664 has 288 divisors, whose sum is σ = 809040960. Its totient is φ = 58392576.

The previous prime is 226253627. The next prime is 226253693. The reversal of 226253664 is 466352622.

226253664 is a `hidden beast` number, since 2 + 2 + 62 + 536 + 64 = 666.

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

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2332464 + ... + 2332560.

It is an arithmetic number, because the mean of its divisors is an integer number (2809170).

Almost surely, 2^226253664 is an apocalyptic number.

226253664 is a gapful number since it is divisible by the number (24) 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 226253664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404520480).

226253664 is an abundant number, since it is smaller than the sum of its proper divisors (582787296).

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

226253664 is a wasteful number, since it uses less digits than its factorization.

226253664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 211 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 226253664 is about 15041.7307514794. The cubic root of 226253664 is about 609.3477431911.

The spelling of 226253664 in words is "two hundred twenty-six million, two hundred fifty-three thousand, six hundred sixty-four".