226656480 has 96 divisors (see below), whose sum is σ = 725766048. Its totient is φ = 59443200.

The previous prime is 226656457. The next prime is 226656509. The reversal of 226656480 is 84656622.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×226656480³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25410 + ... + 33150.

It is an arithmetic number, because the mean of its divisors is an integer number (7560063).

Almost surely, 2^226656480 is an apocalyptic number.

226656480 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 226656480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362883024).

226656480 is an abundant number, since it is smaller than the sum of its proper divisors (499109568).

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

226656480 is a wasteful number, since it uses less digits than its factorization.

226656480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7820 (or 7812 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 226656480 is about 15055.1147454943. The cubic root of 226656480 is about 609.7091509622.

The spelling of 226656480 in words is "two hundred twenty-six million, six hundred fifty-six thousand, four hundred eighty".