226626864 has 120 divisors (see below), whose sum is σ = 642749040. Its totient is φ = 68805120.

The previous prime is 226626863. The next prime is 226626877. The reversal of 226626864 is 468626622.

It is a happy number.

It is a super-3 number, since 3×226626864³ (a number of 26 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (226626863) 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, 7310529 + ... + 7310559.

It is an arithmetic number, because the mean of its divisors is an integer number (5356242).

Almost surely, 2^226626864 is an apocalyptic number.

226626864 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 226626864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321374520).

226626864 is an abundant number, since it is smaller than the sum of its proper divisors (416122176).

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

226626864 is an equidigital number, since it uses as much as digits as its factorization.

226626864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 53 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 226626864 is about 15054.1311273683. The cubic root of 226626864 is about 609.6825939853.

The spelling of 226626864 in words is "two hundred twenty-six million, six hundred twenty-six thousand, eight hundred sixty-four".