226494182400 has 528 divisors, whose sum is σ = 796707203904. Its totient is φ = 56552325120.

The previous prime is 226494182389. The next prime is 226494182401. The reversal of 226494182400 is 4281494622.

It is a super-2 number, since 2×226494182400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226494182401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369484494 + ... + 369485106.

Almost surely, 2^226494182400 is an apocalyptic number.

226494182400 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 226494182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398353601952).

226494182400 is an abundant number, since it is smaller than the sum of its proper divisors (570213021504).

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

226494182400 is a wasteful number, since it uses less digits than its factorization.

226494182400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 226494182400 in words is "two hundred twenty-six billion, four hundred ninety-four million, one hundred eighty-two thousand, four hundred".