229947984000 has 2304 divisors, whose sum is σ = 1069660650240. Its totient is φ = 48771072000.

The previous prime is 229947983999. The next prime is 229947984059. The reversal of 229947984000 is 489749922.

229947984000 is a `hidden beast` number, since 2 + 2 + 99 + 479 + 84 + 0 + 0 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 3238703965 + ... + 3238704035.

It is an arithmetic number, because the mean of its divisors is an integer number (464262435).

Almost surely, 2^229947984000 is an apocalyptic number.

229947984000 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 229947984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534830325120).

229947984000 is an abundant number, since it is smaller than the sum of its proper divisors (839712666240).

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

229947984000 is an equidigital number, since it uses as much as digits as its factorization.

229947984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 229947984000 in words is "two hundred twenty-nine billion, nine hundred forty-seven million, nine hundred eighty-four thousand".