226244715840 has 1680 divisors, whose sum is σ = 988877514240. Its totient is φ = 48721305600.

The previous prime is 226244715833. The next prime is 226244715857. The reversal of 226244715840 is 48517442622.

226244715840 is a `hidden beast` number, since 2 + 2 + 6 + 24 + 47 + 1 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 239 ways as a sum of consecutive naturals, for example, 1263936871 + ... + 1263937049.

It is an arithmetic number, because the mean of its divisors is an integer number (588617568).

Almost surely, 2^226244715840 is an apocalyptic number.

226244715840 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 226244715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494438757120).

226244715840 is an abundant number, since it is smaller than the sum of its proper divisors (762632798400).

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

226244715840 is a wasteful number, since it uses less digits than its factorization.

226244715840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 226244715840 in words is "two hundred twenty-six billion, two hundred forty-four million, seven hundred fifteen thousand, eight hundred forty".