226102560 has 192 divisors, whose sum is σ = 758419200. Its totient is φ = 56512512.

The previous prime is 226102559. The next prime is 226102607. The reversal of 226102560 is 65201622.

226102560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×226102560² = 102244735277107200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 226102560.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 514821 + ... + 515259.

It is an arithmetic number, because the mean of its divisors is an integer number (3950100).

Almost surely, 2^226102560 is an apocalyptic number.

226102560 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 226102560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379209600).

226102560 is an abundant number, since it is smaller than the sum of its proper divisors (532316640).

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

226102560 is a wasteful number, since it uses less digits than its factorization.

226102560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 226102560 is about 15036.7070863271. The cubic root of 226102560 is about 609.2120615778.

The spelling of 226102560 in words is "two hundred twenty-six million, one hundred two thousand, five hundred sixty".