229461984 has 144 divisors (see below), whose sum is σ = 706672512. Its totient is φ = 73104768.

The previous prime is 229461929. The next prime is 229462019. The reversal of 229461984 is 489164922.

229461984 is a `hidden beast` number, since 2 + 29 + 4 + 619 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178207 + ... + 179489.

It is an arithmetic number, because the mean of its divisors is an integer number (4907448).

Almost surely, 2^229461984 is an apocalyptic number.

229461984 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 229461984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353336256).

229461984 is an abundant number, since it is smaller than the sum of its proper divisors (477210528).

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

229461984 is a wasteful number, since it uses less digits than its factorization.

With its successor (229461985) it forms an eRAP, since the sums of their prime factors are consecutive (1331 and 1332).

229461984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1311 counting only the distinct ones).

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

The square root of 229461984 is about 15148.0026406124. The cubic root of 229461984 is about 612.2144577127.

The spelling of 229461984 in words is "two hundred twenty-nine million, four hundred sixty-one thousand, nine hundred eighty-four".