226161936 has 320 divisors, whose sum is σ = 873277440. Its totient is φ = 54120960.

The previous prime is 226161919. The next prime is 226161989. The reversal of 226161936 is 639161622.

It is a happy number.

226161936 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 619 + 36 = 666.

It is a super-2 number, since 2×226161936² = 102298442590536192, which contains 22 as substring.

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 226161936.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 432171 + ... + 432693.

It is an arithmetic number, because the mean of its divisors is an integer number (2728992).

Almost surely, 2^226161936 is an apocalyptic number.

226161936 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226161936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436638720).

226161936 is an abundant number, since it is smaller than the sum of its proper divisors (647115504).

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

226161936 is a wasteful number, since it uses less digits than its factorization.

226161936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 559 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 226161936 is about 15038.6813251694. The cubic root of 226161936 is about 609.2653845911.

The spelling of 226161936 in words is "two hundred twenty-six million, one hundred sixty-one thousand, nine hundred thirty-six".