226090880 has 64 divisors (see below), whose sum is σ = 568976400. Its totient is φ = 85671936.

The previous prime is 226090877. The next prime is 226090889. The reversal of 226090880 is 88090622.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×226090880³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 226090880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226090889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2864 + ... + 21456.

Almost surely, 2^226090880 is an apocalyptic number.

226090880 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 226090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284488200).

226090880 is an abundant number, since it is smaller than the sum of its proper divisors (342885520).

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

226090880 is a wasteful number, since it uses less digits than its factorization.

226090880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18631 (or 18619 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 226090880 is about 15036.3186984049. The cubic root of 226090880 is about 609.2015711770.

The spelling of 226090880 in words is "two hundred twenty-six million, ninety thousand, eight hundred eighty".