226060800 has 360 divisors, whose sum is σ = 883904736. Its totient is φ = 49889280.

The previous prime is 226060789. The next prime is 226060811. The reversal of 226060800 is 8060622.

It is an interprime number because it is at equal distance from previous prime (226060789) and next prime (226060811).

It is a super-2 number, since 2×226060800² = 102206970593280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7795186 + ... + 7795214.

Almost surely, 2^226060800 is an apocalyptic number.

226060800 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 226060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441952368).

226060800 is an abundant number, since it is smaller than the sum of its proper divisors (657843936).

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

226060800 is an equidigital number, since it uses as much as digits as its factorization.

226060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 226060800 is about 15035.3184203062. The cubic root of 226060800 is about 609.1745531390.

The spelling of 226060800 in words is "two hundred twenty-six million, sixty thousand, eight hundred".