226106056800 has 576 divisors, whose sum is σ = 891616057920. Its totient is φ = 55651276800.

The previous prime is 226106056753. The next prime is 226106056807. The reversal of 226106056800 is 8650601622.

226106056800 is a `hidden beast` number, since 2 + 26 + 10 + 60 + 568 + 0 + 0 = 666.

It is a super-2 number, since 2×226106056800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226106056807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22739830 + ... + 22749770.

It is an arithmetic number, because the mean of its divisors is an integer number (1547944545).

Almost surely, 2^226106056800 is an apocalyptic number.

226106056800 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 226106056800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445808028960).

226106056800 is an abundant number, since it is smaller than the sum of its proper divisors (665510001120).

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

226106056800 is an equidigital number, since it uses as much as digits as its factorization.

226106056800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9995 (or 9964 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 226106056800 in words is "two hundred twenty-six billion, one hundred six million, fifty-six thousand, eight hundred".