226089360 has 320 divisors, whose sum is σ = 938035200. Its totient is φ = 48895488.

The previous prime is 226089323. The next prime is 226089373. The reversal of 226089360 is 63980622.

It is a super-2 number, since 2×226089360² = 102232797410419200, which contains 22 as substring.

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

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, 286887 + ... + 287673.

It is an arithmetic number, because the mean of its divisors is an integer number (2931360).

Almost surely, 2^226089360 is an apocalyptic number.

226089360 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 226089360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469017600).

226089360 is an abundant number, since it is smaller than the sum of its proper divisors (711945840).

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

226089360 is a wasteful number, since it uses less digits than its factorization.

226089360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 226089360 is about 15036.2681540334. The cubic root of 226089360 is about 609.2002059613.

The spelling of 226089360 in words is "two hundred twenty-six million, eighty-nine thousand, three hundred sixty".