226583920 has 40 divisors (see below), whose sum is σ = 527555520. Its totient is φ = 90504960.

The previous prime is 226583891. The next prime is 226583921. The reversal of 226583920 is 29385622.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 226583920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226583921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71326 + ... + 74434.

It is an arithmetic number, because the mean of its divisors is an integer number (13188888).

Almost surely, 2^226583920 is an apocalyptic number.

226583920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226583920 is an abundant number, since it is smaller than the sum of its proper divisors (300971600).

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

226583920 is a wasteful number, since it uses less digits than its factorization.

226583920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4033 (or 4027 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 226583920 is about 15052.7047403448. The cubic root of 226583920 is about 609.6440815412.

The spelling of 226583920 in words is "two hundred twenty-six million, five hundred eighty-three thousand, nine hundred twenty".