226227830520384 has 945 divisors, whose sum is σ = 857778751670841. Its totient is φ = 58738816604160.

The previous prime is 226227830520353. The next prime is 226227830520389. The reversal of 226227830520384 is 483025038722622.

The square root of 226227830520384 is 15040872.

It is a perfect power (a square), and thus also a powerful number.

226227830520384 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 2 + 7 + 8 + 30 + 520 + 3 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 223235871566400 + 2991958953984 = 14941080^2 + 1729728^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 226227830520384.

It is not an unprimeable number, because it can be changed into a prime (226227830520389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 83386593012 + ... + 83386595724.

Almost surely, 2^{226227830520384} is an apocalyptic number.

226227830520384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

226227830520384 is the 15040872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226227830520384

226227830520384 is an abundant number, since it is smaller than the sum of its proper divisors (631550921150457).

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

226227830520384 is an frugal number, since it uses more digits than its factorization.

226227830520384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5486 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 226227830520384 in words is "two hundred twenty-six trillion, two hundred twenty-seven billion, eight hundred thirty million, five hundred twenty thousand, three hundred eighty-four".