226307360 has 48 divisors (see below), whose sum is σ = 539425656. Its totient is φ = 89714688.

The previous prime is 226307357. The next prime is 226307371. The reversal of 226307360 is 63703622.

226307360 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 169937296 + 56370064 = 13036^2 + 7508^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11822 + ... + 24338.

Almost surely, 2^226307360 is an apocalyptic number.

226307360 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 226307360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269712828).

226307360 is an abundant number, since it is smaller than the sum of its proper divisors (313118296).

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

226307360 is a wasteful number, since it uses less digits than its factorization.

226307360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12645 (or 12637 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 29.

The square root of 226307360 is about 15043.5155465735. The cubic root of 226307360 is about 609.3959441760.

The spelling of 226307360 in words is "two hundred twenty-six million, three hundred seven thousand, three hundred sixty".