226197219024 has 180 divisors, whose sum is σ = 756294539364. Its totient is φ = 62881007616.

The previous prime is 226197219011. The next prime is 226197219119. The reversal of 226197219024 is 420912791622.

226197219024 is a `hidden beast` number, since 2 + 2 + 619 + 7 + 2 + 1 + 9 + 0 + 24 = 666.

226197219024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 114595790400 + 111601428624 = 338520^2 + 334068^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 172137 + ... + 694280.

Almost surely, 2^226197219024 is an apocalyptic number.

226197219024 is a gapful number since it is divisible by the number (24) 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 226197219024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378147269682).

226197219024 is an abundant number, since it is smaller than the sum of its proper divisors (530097320340).

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

226197219024 is a wasteful number, since it uses less digits than its factorization.

226197219024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866482 (or 866466 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 226197219024 in words is "two hundred twenty-six billion, one hundred ninety-seven million, two hundred nineteen thousand, twenty-four".