229878144 has 192 divisors, whose sum is σ = 703946880. Its totient is φ = 71884800.

The previous prime is 229878137. The next prime is 229878161. The reversal of 229878144 is 441878922.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×229878144² = 105687922177769472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 229878144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1464114 + ... + 1464270.

It is an arithmetic number, because the mean of its divisors is an integer number (3666390).

Almost surely, 2^229878144 is an apocalyptic number.

229878144 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 229878144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351973440).

229878144 is an abundant number, since it is smaller than the sum of its proper divisors (474068736).

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

229878144 is a wasteful number, since it uses less digits than its factorization.

229878144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 234 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 229878144 is about 15161.7328824907. The cubic root of 229878144 is about 612.5843451249.

The spelling of 229878144 in words is "two hundred twenty-nine million, eight hundred seventy-eight thousand, one hundred forty-four".