226187136 has 144 divisors (see below), whose sum is σ = 757331640. Its totient is φ = 64608768.

The previous prime is 226187131. The next prime is 226187149. The reversal of 226187136 is 631781622.

226187136 is a `hidden beast` number, since 2 + 2 + 618 + 7 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 a self number, because there is not a number n which added to its sum of digits gives 226187136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226187131) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 54445 + ... + 58451.

Almost surely, 2^226187136 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 226187136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378665820).

226187136 is an abundant number, since it is smaller than the sum of its proper divisors (531144504).

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

226187136 is a wasteful number, since it uses less digits than its factorization.

226187136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4041 (or 4019 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 226187136 is about 15039.5191412492. The cubic root of 226187136 is about 609.2880127983.

The spelling of 226187136 in words is "two hundred twenty-six million, one hundred eighty-seven thousand, one hundred thirty-six".