226033920 has 216 divisors, whose sum is σ = 894094656. Its totient is φ = 51646464.

The previous prime is 226033919. The next prime is 226033933. The reversal of 226033920 is 29330622.

226033920 is a `hidden beast` number, since 2 + 2 + 603 + 39 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79239 + ... + 82041.

Almost surely, 2^226033920 is an apocalyptic number.

226033920 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 226033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447047328).

226033920 is an abundant number, since it is smaller than the sum of its proper divisors (668060736).

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

226033920 is a wasteful number, since it uses less digits than its factorization.

226033920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 226033920 is about 15034.4244984635. The cubic root of 226033920 is about 609.1504073324.

The spelling of 226033920 in words is "two hundred twenty-six million, thirty-three thousand, nine hundred twenty".