229289241600 has 396 divisors, whose sum is σ = 823225122720. Its totient is φ = 60975513600.

The previous prime is 229289241551. The next prime is 229289241631. The reversal of 229289241600 is 6142982922.

229289241600 is a `hidden beast` number, since 229 + 2 + 8 + 9 + 2 + 416 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99301246 + ... + 99303554.

It is an arithmetic number, because the mean of its divisors is an integer number (2078851320).

Almost surely, 2^229289241600 is an apocalyptic number.

229289241600 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 229289241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411612561360).

229289241600 is an abundant number, since it is smaller than the sum of its proper divisors (593935881120).

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

229289241600 is a wasteful number, since it uses less digits than its factorization.

229289241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2776 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 229289241600 in words is "two hundred twenty-nine billion, two hundred eighty-nine million, two hundred forty-one thousand, six hundred".