226383206400 has 2160 divisors, whose sum is σ = 1011939528600. Its totient is φ = 49686773760.

The previous prime is 226383206393. The next prime is 226383206411. The reversal of 226383206400 is 4602383622.

226383206400 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 8 + 3 + 2 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×226383206400² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 11914905591 + ... + 11914905609.

Almost surely, 2^226383206400 is an apocalyptic number.

226383206400 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 226383206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505969764300).

226383206400 is an abundant number, since it is smaller than the sum of its proper divisors (785556322200).

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

226383206400 is a wasteful number, since it uses less digits than its factorization.

226383206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 226383206400 in words is "two hundred twenty-six billion, three hundred eighty-three million, two hundred six thousand, four hundred".