229947984 has 360 divisors, whose sum is σ = 833571648. Its totient is φ = 60963840.

The previous prime is 229947929. The next prime is 229948003. The reversal of 229947984 is 489749922.

229947984 is a `hidden beast` number, since 2 + 2 + 99 + 479 + 84 = 666.

229947984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 229947984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3238669 + ... + 3238739.

Almost surely, 2^229947984 is an apocalyptic number.

229947984 is a gapful number since it is divisible by the number (24) 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 229947984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416785824).

229947984 is an abundant number, since it is smaller than the sum of its proper divisors (603623664).

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

229947984 is a wasteful number, since it uses less digits than its factorization.

229947984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 100 counting only the distinct ones).

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

The square root of 229947984 is about 15164.0358743970. The cubic root of 229947984 is about 612.6463759005.

The spelling of 229947984 in words is "two hundred twenty-nine million, nine hundred forty-seven thousand, nine hundred eighty-four".