226228032 has 112 divisors (see below), whose sum is σ = 672998400. Its totient is φ = 74511360.

The previous prime is 226228019. The next prime is 226228063. The reversal of 226228032 is 230822622.

It is a happy number.

226228032 is a `hidden beast` number, since 2 + 2 + 622 + 8 + 0 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 226227987 and 226228005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153057 + ... + 154527.

Almost surely, 2^226228032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226228032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336499200).

226228032 is an abundant number, since it is smaller than the sum of its proper divisors (446770368).

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

226228032 is a wasteful number, since it uses less digits than its factorization.

226228032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 226228032 is about 15040.8786977357. The cubic root of 226228032 is about 609.3247315694.

The spelling of 226228032 in words is "two hundred twenty-six million, two hundred twenty-eight thousand, thirty-two".