226104480 has 192 divisors, whose sum is σ = 904538880. Its totient is φ = 51674112.

The previous prime is 226104479. The next prime is 226104481. The reversal of 226104480 is 84401622.

226104480 is a `hidden beast` number, since 2 + 2 + 610 + 4 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (226104479) and next prime (226104481).

It is a super-2 number, since 2×226104480² = 102246471752140800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (226104481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26502 + ... + 33978.

It is an arithmetic number, because the mean of its divisors is an integer number (4711140).

Almost surely, 2^226104480 is an apocalyptic number.

226104480 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 226104480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452269440).

226104480 is an abundant number, since it is smaller than the sum of its proper divisors (678434400).

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

226104480 is a wasteful number, since it uses less digits than its factorization.

226104480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7508 (or 7494 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 226104480 is about 15036.7709299570. The cubic root of 226104480 is about 609.2137859926.

The spelling of 226104480 in words is "two hundred twenty-six million, one hundred four thousand, four hundred eighty".