229894848000 has 800 divisors, whose sum is σ = 871582840128. Its totient is φ = 60217344000.

The previous prime is 229894847951. The next prime is 229894848011. The reversal of 229894848000 is 848498922.

229894848000 is a `hidden beast` number, since 2 + 2 + 9 + 89 + 484 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-2 number, since 2×229894848000² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 316223637 + ... + 316224363.

Almost surely, 2^229894848000 is an apocalyptic number.

229894848000 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 229894848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435791420064).

229894848000 is an abundant number, since it is smaller than the sum of its proper divisors (641687992128).

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

229894848000 is an frugal number, since it uses more digits than its factorization.

229894848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 229894848000 in words is "two hundred twenty-nine billion, eight hundred ninety-four million, eight hundred forty-eight thousand".