226257920 has 176 divisors, whose sum is σ = 636698880. Its totient is φ = 75546624.

The previous prime is 226257893. The next prime is 226257929. The reversal of 226257920 is 29752622.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (226257929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2114507 + ... + 2114613.

Almost surely, 2^226257920 is an apocalyptic number.

226257920 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 226257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318349440).

226257920 is an abundant number, since it is smaller than the sum of its proper divisors (410440960).

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

226257920 is a wasteful number, since it uses less digits than its factorization.

226257920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 226257920 is about 15041.8722238955. The cubic root of 226257920 is about 609.3515639288.

The spelling of 226257920 in words is "two hundred twenty-six million, two hundred fifty-seven thousand, nine hundred twenty".