225628011 has 40 divisors (see below), whose sum is σ = 388903680. Its totient is φ = 127690992.

The previous prime is 225628003. The next prime is 225628037. The reversal of 225628011 is 110826522.

It is a happy number.

225628011 is a `hidden beast` number, since 2 + 25 + 628 + 0 + 11 = 666.

It is not a de Polignac number, because 225628011 - 2³ = 225628003 is a prime.

It is a super-2 number, since 2×225628011² = 101815998695632242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (225623011) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58810 + ... + 62528.

It is an arithmetic number, because the mean of its divisors is an integer number (9722592).

Almost surely, 2^225628011 is an apocalyptic number.

225628011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

225628011 is a deficient number, since it is larger than the sum of its proper divisors (163275669).

225628011 is a wasteful number, since it uses less digits than its factorization.

225628011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3845 (or 3836 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 225628011 is about 15020.9191130237. The cubic root of 225628011 is about 608.7855538491.

The spelling of 225628011 in words is "two hundred twenty-five million, six hundred twenty-eight thousand, eleven".