226295920 has 40 divisors (see below), whose sum is σ = 527466240. Its totient is φ = 90289920.

The previous prime is 226295899. The next prime is 226295941. The reversal of 226295920 is 29592622.

It is a happy number.

226295920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (226295899) and next prime (226295941).

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 226295920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30321 + ... + 37039.

It is an arithmetic number, because the mean of its divisors is an integer number (13186656).

Almost surely, 2^226295920 is an apocalyptic number.

226295920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226295920 is an abundant number, since it is smaller than the sum of its proper divisors (301170320).

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

226295920 is a wasteful number, since it uses less digits than its factorization.

226295920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7153 (or 7147 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 226295920 is about 15043.1353114967. The cubic root of 226295920 is about 609.3856755351.

The spelling of 226295920 in words is "two hundred twenty-six million, two hundred ninety-five thousand, nine hundred twenty".