226237536 has 240 divisors, whose sum is σ = 783278496. Its totient is φ = 62705664.

The previous prime is 226237519. The next prime is 226237537. The reversal of 226237536 is 635732622.

It is a happy number.

226237536 is a `hidden beast` number, since 22 + 623 + 7 + 5 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 226237536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226237537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 671160 + ... + 671496.

Almost surely, 2^226237536 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 226237536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391639248).

226237536 is an abundant number, since it is smaller than the sum of its proper divisors (557040960).

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

226237536 is a wasteful number, since it uses less digits than its factorization.

226237536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 386 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 226237536 is about 15041.1946334060. The cubic root of 226237536 is about 609.3332641712. Note that the first 3 decimals are identical.

The spelling of 226237536 in words is "two hundred twenty-six million, two hundred thirty-seven thousand, five hundred thirty-six".