226324264320 has 1920 divisors, whose sum is σ = 1058884358400. Its totient is φ = 44739993600.

The previous prime is 226324264303. The next prime is 226324264321. The reversal of 226324264320 is 23462423622.

226324264320 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 2 + 4 + 2 + 643 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 (226324264321) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3836004451 + ... + 3836004509.

It is an arithmetic number, because the mean of its divisors is an integer number (551502270).

Almost surely, 2^226324264320 is an apocalyptic number.

226324264320 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 226324264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529442179200).

226324264320 is an abundant number, since it is smaller than the sum of its proper divisors (832560094080).

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

226324264320 is a wasteful number, since it uses less digits than its factorization.

226324264320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 226324264320 its reverse (23462423622), we get a palindrome (249786687942).

The spelling of 226324264320 in words is "two hundred twenty-six billion, three hundred twenty-four million, two hundred sixty-four thousand, three hundred twenty".