226622880 has 384 divisors, whose sum is σ = 914457600. Its totient is φ = 51840000.

The previous prime is 226622863. The next prime is 226622909. The reversal of 226622880 is 88226622.

226622880 is a `hidden beast` number, since 2 + 26 + 622 + 8 + 8 + 0 = 666.

226622880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 902755 + ... + 903005.

It is an arithmetic number, because the mean of its divisors is an integer number (2381400).

Almost surely, 2^226622880 is an apocalyptic number.

226622880 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 226622880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457228800).

226622880 is an abundant number, since it is smaller than the sum of its proper divisors (687834720).

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

226622880 is a wasteful number, since it uses less digits than its factorization.

226622880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 226622880 is about 15053.9988043045. The cubic root of 226622880 is about 609.6790213142.

Adding to 226622880 its sum of digits (36), we get a square (226622916 = 15054²).

The spelling of 226622880 in words is "two hundred twenty-six million, six hundred twenty-two thousand, eight hundred eighty".