226271232 has 280 divisors, whose sum is σ = 761219712. Its totient is φ = 66355200.

The previous prime is 226271219. The next prime is 226271237. The reversal of 226271232 is 232172622.

226271232 is a `hidden beast` number, since 2 + 2 + 627 + 1 + 2 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 226271196 and 226271205.

It is not an unprimeable number, because it can be changed into a prime (226271237) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7299057 + ... + 7299087.

Almost surely, 2^226271232 is an apocalyptic number.

226271232 is a gapful number since it is divisible by the number (22) 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 226271232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380609856).

226271232 is an abundant number, since it is smaller than the sum of its proper divisors (534948480).

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

226271232 is an equidigital number, since it uses as much as digits as its factorization.

226271232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 47 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 226271232 is about 15042.3147154951. The cubic root of 226271232 is about 609.3635141977.

The spelling of 226271232 in words is "two hundred twenty-six million, two hundred seventy-one thousand, two hundred thirty-two".