229734144 has 126 divisors (see below), whose sum is σ = 688100336. Its totient is φ = 76515840.

The previous prime is 229734101. The next prime is 229734151. The reversal of 229734144 is 441437922.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 229734099 and 229734108.

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 13 ways as a sum of consecutive naturals, for example, 186009 + ... + 187239.

Almost surely, 2^229734144 is an apocalyptic number.

229734144 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 229734144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344050168).

229734144 is an abundant number, since it is smaller than the sum of its proper divisors (458366192).

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

229734144 is an frugal number, since it uses more digits than its factorization.

229734144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1236 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 229734144 is about 15156.9833410214. The cubic root of 229734144 is about 612.4564069488.

The spelling of 229734144 in words is "two hundred twenty-nine million, seven hundred thirty-four thousand, one hundred forty-four".