229023194400 has 1728 divisors, whose sum is σ = 1111038888960. Its totient is φ = 42848870400.

The previous prime is 229023194371. The next prime is 229023194423. The reversal of 229023194400 is 4491320922.

229023194400 is a `hidden beast` number, since 229 + 0 + 23 + 1 + 9 + 4 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 287 ways as a sum of consecutive naturals, for example, 309909231 + ... + 309909969.

It is an arithmetic number, because the mean of its divisors is an integer number (642962320).

Almost surely, 2^229023194400 is an apocalyptic number.

229023194400 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 229023194400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555519444480).

229023194400 is an abundant number, since it is smaller than the sum of its proper divisors (882015694560).

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

229023194400 is a wasteful number, since it uses less digits than its factorization.

229023194400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 229023194400 in words is "two hundred twenty-nine billion, twenty-three million, one hundred ninety-four thousand, four hundred".