226662937217280 has 1008 divisors, whose sum is σ = 842677161480000. Its totient is φ = 58318524923904.

The previous prime is 226662937217279. The next prime is 226662937217411. The reversal of 226662937217280 is 82712739266622.

It is a super-2 number, since 2×226662937217280² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 68706557071 + ... + 68706560369.

It is an arithmetic number, because the mean of its divisors is an integer number (835989247500).

Almost surely, 2^{226662937217280} is an apocalyptic number.

226662937217280 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 226662937217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421338580740000).

226662937217280 is an abundant number, since it is smaller than the sum of its proper divisors (616014224262720).

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

226662937217280 is an equidigital number, since it uses as much as digits as its factorization.

226662937217280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5906 (or 5877 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 226662937217280 in words is "two hundred twenty-six trillion, six hundred sixty-two billion, nine hundred thirty-seven million, two hundred seventeen thousand, two hundred eighty".