226451264 has 56 divisors (see below), whose sum is σ = 494312448. Its totient is φ = 102274560.

The previous prime is 226451257. The next prime is 226451297. The reversal of 226451264 is 462154622.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 226451264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36209 + ... + 41999.

It is an arithmetic number, because the mean of its divisors is an integer number (8827008).

Almost surely, 2^226451264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226451264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247156224).

226451264 is an abundant number, since it is smaller than the sum of its proper divisors (267861184).

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

226451264 is a wasteful number, since it uses less digits than its factorization.

226451264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5863 (or 5853 counting only the distinct ones).

The product of its digits is 23040, while the sum is 32.

The square root of 226451264 is about 15048.2977110370. The cubic root of 226451264 is about 609.5250840809.

The spelling of 226451264 in words is "two hundred twenty-six million, four hundred fifty-one thousand, two hundred sixty-four".