226120097280 has 320 divisors, whose sum is σ = 901252459008. Its totient is φ = 46985871360.

The previous prime is 226120097221. The next prime is 226120097299. The reversal of 226120097280 is 82790021622.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×226120097280² (a number of 24 digits) 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 31 ways as a sum of consecutive naturals, for example, 400174 + ... + 782546.

Almost surely, 2^226120097280 is an apocalyptic number.

226120097280 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 226120097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450626229504).

226120097280 is an abundant number, since it is smaller than the sum of its proper divisors (675132361728).

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

226120097280 is a wasteful number, since it uses less digits than its factorization.

226120097280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382417 (or 382401 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 226120097280 in words is "two hundred twenty-six billion, one hundred twenty million, ninety-seven thousand, two hundred eighty".