226097904700800 has 1440 divisors, whose sum is σ = 946684371864000. Its totient is φ = 53043268608000.

The previous prime is 226097904700777. The next prime is 226097904700861. The reversal of 226097904700800 is 8007409790622.

226097904700800 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 9 + 7 + 90 + 470 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×226097904700800² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 972142926 + ... + 972375474.

Almost surely, 2^{226097904700800} is an apocalyptic number.

226097904700800 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 226097904700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473342185932000).

226097904700800 is an abundant number, since it is smaller than the sum of its proper divisors (720586467163200).

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

226097904700800 is a wasteful number, since it uses less digits than its factorization.

226097904700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232638 (or 232601 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 226097904700800 in words is "two hundred twenty-six trillion, ninety-seven billion, nine hundred four million, seven hundred thousand, eight hundred".