226105320 has 256 divisors, whose sum is σ = 844185600. Its totient is φ = 47278080.

The previous prime is 226105307. The next prime is 226105331. The reversal of 226105320 is 23501622.

It is a super-2 number, since 2×226105320² = 102247231464604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 494532 + ... + 494988.

It is an arithmetic number, because the mean of its divisors is an integer number (3297600).

Almost surely, 2^226105320 is an apocalyptic number.

226105320 is a gapful number since it is divisible by the number (20) 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 226105320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422092800).

226105320 is an abundant number, since it is smaller than the sum of its proper divisors (618080280).

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

226105320 is a wasteful number, since it uses less digits than its factorization.

226105320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 226105320 is about 15036.7988614598. The cubic root of 226105320 is about 609.2145404211.

Adding to 226105320 its reverse (23501622), we get a palindrome (249606942).

The spelling of 226105320 in words is "two hundred twenty-six million, one hundred five thousand, three hundred twenty".