226585920 has 224 divisors, whose sum is σ = 804672000. Its totient is φ = 53544960.

The previous prime is 226585873. The next prime is 226585943. The reversal of 226585920 is 29585622.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 453831 + ... + 454329.

Almost surely, 2^226585920 is an apocalyptic number.

226585920 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 226585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402336000).

226585920 is an abundant number, since it is smaller than the sum of its proper divisors (578086080).

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

226585920 is a wasteful number, since it uses less digits than its factorization.

226585920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 226585920 is about 15052.7711734418. The cubic root of 226585920 is about 609.6458752616.

The spelling of 226585920 in words is "two hundred twenty-six million, five hundred eighty-five thousand, nine hundred twenty".