229110488755200 has 2112 divisors, whose sum is σ = 926740404817920. Its totient is φ = 55125139783680.

The previous prime is 229110488755129. The next prime is 229110488755223. The reversal of 229110488755200 is 2557884011922.

It is a happy number.

229110488755200 is a `hidden beast` number, since 2 + 2 + 9 + 1 + 1 + 0 + 4 + 8 + 87 + 552 + 0 + 0 = 666.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 72343064017 + ... + 72343067183.

It is an arithmetic number, because the mean of its divisors is an integer number (438797540160).

Almost surely, 2^{229110488755200} is an apocalyptic number.

229110488755200 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 229110488755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463370202408960).

229110488755200 is an abundant number, since it is smaller than the sum of its proper divisors (697629916062720).

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

229110488755200 is a wasteful number, since it uses less digits than its factorization.

229110488755200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3399 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 229110488755200 in words is "two hundred twenty-nine trillion, one hundred ten billion, four hundred eighty-eight million, seven hundred fifty-five thousand, two hundred".