226587312 has 120 divisors (see below), whose sum is σ = 762927360. Its totient is φ = 61326720.

The previous prime is 226587307. The next prime is 226587313. The reversal of 226587312 is 213785622.

226587312 is a `hidden beast` number, since 2 + 265 + 87 + 312 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (226587313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13237 + ... + 25067.

It is an arithmetic number, because the mean of its divisors is an integer number (6357728).

Almost surely, 2^226587312 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 226587312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381463680).

226587312 is an abundant number, since it is smaller than the sum of its proper divisors (536340048).

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

226587312 is a wasteful number, since it uses less digits than its factorization.

226587312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11871 (or 11862 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 226587312 is about 15052.8174107042. The cubic root of 226587312 is about 609.6471236847.

The spelling of 226587312 in words is "two hundred twenty-six million, five hundred eighty-seven thousand, three hundred twelve".