226413288 has 96 divisors (see below), whose sum is σ = 653702400. Its totient is φ = 70629504.

The previous prime is 226413283. The next prime is 226413307. The reversal of 226413288 is 882314622.

226413288 is a `hidden beast` number, since 2 + 2 + 641 + 3 + 2 + 8 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (226413283) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 76378 + ... + 79286.

It is an arithmetic number, because the mean of its divisors is an integer number (6809400).

Almost surely, 2^226413288 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 226413288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326851200).

226413288 is an abundant number, since it is smaller than the sum of its proper divisors (427289112).

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

226413288 is a wasteful number, since it uses less digits than its factorization.

226413288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2991 (or 2984 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 226413288 is about 15047.0358542804. The cubic root of 226413288 is about 609.4910096135.

The spelling of 226413288 in words is "two hundred twenty-six million, four hundred thirteen thousand, two hundred eighty-eight".