229896243200 has 324 divisors, whose sum is σ = 621032585355. Its totient is φ = 84364001280.

The previous prime is 229896243197. The next prime is 229896243209. The reversal of 229896243200 is 2342698922.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 14392321024 + 215503922176 = 119968^2 + 464224^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=339040.

It is not an unprimeable number, because it can be changed into a prime (229896243209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1410406319 + ... + 1410406481.

Almost surely, 2^229896243200 is an apocalyptic number.

229896243200 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 229896243200

229896243200 is an abundant number, since it is smaller than the sum of its proper divisors (391136342155).

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

229896243200 is an equidigital number, since it uses as much as digits as its factorization.

229896243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 47.

The spelling of 229896243200 in words is "two hundred twenty-nine billion, eight hundred ninety-six million, two hundred forty-three thousand, two hundred".