226511136 has 72 divisors (see below), whose sum is σ = 645925644. Its totient is φ = 75294720.

The previous prime is 226511123. The next prime is 226511161. The reversal of 226511136 is 631115622.

226511136 is a `hidden beast` number, since 2 + 2 + 651 + 1 + 1 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 202891536 + 23619600 = 14244^2 + 4860^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130756 + ... + 132476.

Almost surely, 2^226511136 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 226511136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322962822).

226511136 is an abundant number, since it is smaller than the sum of its proper divisors (419414508).

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

226511136 is a wasteful number, since it uses less digits than its factorization.

226511136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194 (or 2183 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 226511136 is about 15050.2869075643. The cubic root of 226511136 is about 609.5787972868.

Adding to 226511136 its reverse (631115622), we get a palindrome (857626758).

The spelling of 226511136 in words is "two hundred twenty-six million, five hundred eleven thousand, one hundred thirty-six".