229319779782240 has 2304 divisors, whose sum is σ = 1033426966118400. Its totient is φ = 47135150899200.

The previous prime is 229319779782221. The next prime is 229319779782293. The reversal of 229319779782240 is 42287977913922.

It is a happy number.

229319779782240 is a `hidden beast` number, since 2 + 293 + 1 + 9 + 7 + 7 + 97 + 8 + 2 + 240 = 666.

It is a super-3 number, since 3×229319779782240³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 383 ways as a sum of consecutive naturals, for example, 8812860430 + ... + 8812886450.

It is an arithmetic number, because the mean of its divisors is an integer number (448536009600).

Almost surely, 2^{229319779782240} is an apocalyptic number.

229319779782240 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 229319779782240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516713483059200).

229319779782240 is an abundant number, since it is smaller than the sum of its proper divisors (804107186336160).

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

229319779782240 is a wasteful number, since it uses less digits than its factorization.

229319779782240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26186 (or 26165 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 72.

The spelling of 229319779782240 in words is "two hundred twenty-nine trillion, three hundred nineteen billion, seven hundred seventy-nine million, seven hundred eighty-two thousand, two hundred forty".