226298880 has 176 divisors, whose sum is σ = 804716640. Its totient is φ = 60309504.

The previous prime is 226298879. The next prime is 226298893. The reversal of 226298880 is 88892622.

It is a super-2 number, since 2×226298880² = 102422366178508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137422 + ... + 139058.

Almost surely, 2^226298880 is an apocalyptic number.

226298880 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 226298880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402358320).

226298880 is an abundant number, since it is smaller than the sum of its proper divisors (578417760).

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

226298880 is a wasteful number, since it uses less digits than its factorization.

226298880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 226298880 is about 15043.2336949208. The cubic root of 226298880 is about 609.3883324894.

The spelling of 226298880 in words is "two hundred twenty-six million, two hundred ninety-eight thousand, eight hundred eighty".