226125760 has 168 divisors, whose sum is σ = 647578080. Its totient is φ = 73586688.

The previous prime is 226125751. The next prime is 226125793. The reversal of 226125760 is 67521622.

It is a super-2 number, since 2×226125760² = 102265718671155200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3832611 + ... + 3832669.

Almost surely, 2^226125760 is an apocalyptic number.

226125760 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 226125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323789040).

226125760 is an abundant number, since it is smaller than the sum of its proper divisors (421452320).

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

226125760 is an equidigital number, since it uses as much as digits as its factorization.

226125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 226125760 is about 15037.4785120378. The cubic root of 226125760 is about 609.2328976037.

The spelling of 226125760 in words is "two hundred twenty-six million, one hundred twenty-five thousand, seven hundred sixty".