226117752 has 96 divisors (see below), whose sum is σ = 671742720. Its totient is φ = 63215040.

The previous prime is 226117721. The next prime is 226117753. The reversal of 226117752 is 257711622.

226117752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×226117752² = 102258475539067008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226117753) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53227 + ... + 57317.

It is an arithmetic number, because the mean of its divisors is an integer number (6997320).

Almost surely, 2^226117752 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 226117752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335871360).

226117752 is an abundant number, since it is smaller than the sum of its proper divisors (445624968).

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

226117752 is a wasteful number, since it uses less digits than its factorization.

226117752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4161 (or 4150 counting only the distinct ones).

The product of its digits is 11760, while the sum is 33.

The square root of 226117752 is about 15037.2122416357. The cubic root of 226117752 is about 609.2257057434.

The spelling of 226117752 in words is "two hundred twenty-six million, one hundred seventeen thousand, seven hundred fifty-two".