226182008400 has 120 divisors (see below), whose sum is σ = 749520494880. Its totient is φ = 58235358720.

The previous prime is 226182008399. The next prime is 226182008411. The reversal of 226182008400 is 4800281622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3214942 + ... + 3284541.

It is an arithmetic number, because the mean of its divisors is an integer number (6246004124).

Almost surely, 2^226182008400 is an apocalyptic number.

226182008400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226182008400 is an abundant number, since it is smaller than the sum of its proper divisors (523338486480).

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

226182008400 is a wasteful number, since it uses less digits than its factorization.

226182008400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6499533 (or 6499522 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 226182008400 in words is "two hundred twenty-six billion, one hundred eighty-two million, eight thousand, four hundred".