229964220096 has 224 divisors, whose sum is σ = 684465707520. Its totient is φ = 67609952256.

The previous prime is 229964220091. The next prime is 229964220103. The reversal of 229964220096 is 690022469922.

229964220096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (229964220091) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 80886451 + ... + 80889293.

It is an arithmetic number, because the mean of its divisors is an integer number (3055650480).

Almost surely, 2^229964220096 is an apocalyptic number.

229964220096 is a gapful number since it is divisible by the number (26) 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 229964220096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342232853760).

229964220096 is an abundant number, since it is smaller than the sum of its proper divisors (454501487424).

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

229964220096 is a wasteful number, since it uses less digits than its factorization.

229964220096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4303 (or 4293 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 229964220096 in words is "two hundred twenty-nine billion, nine hundred sixty-four million, two hundred twenty thousand, ninety-six".