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231430144 = 2111110273
BaseRepresentation
bin11011100101101…
…01100000000000
3121010110212110211
431302311200000
5433221231034
634544203504
75510060311
oct1562654000
9533425424
10231430144
111096aa990
1265609594
1338c4021a
1422a44608
15154b6d64
hexdcb5800

231430144 has 48 divisors (see below), whose sum is σ = 504864360. Its totient is φ = 105185280.

The previous prime is 231430141. The next prime is 231430169. The reversal of 231430144 is 441034132.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231430141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17392 + ... + 27664.

Almost surely, 2231430144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252432180).

231430144 is an abundant number, since it is smaller than the sum of its proper divisors (273434216).

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

231430144 is a wasteful number, since it uses less digits than its factorization.

231430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10306 (or 10286 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 231430144 is about 15212.8282709035. The cubic root of 231430144 is about 613.9598554817.

Adding to 231430144 its reverse (441034132), we get a palindrome (672464276).

The spelling of 231430144 in words is "two hundred thirty-one million, four hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 5632 10273 11264 20546 22528 41092 82184 113003 164368 226006 328736 452012 657472 904024 1314944 1808048 2629888 3616096 5259776 7232192 10519552 14464384 21039104 28928768 57857536 115715072 231430144