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231420144 = 24367227317
BaseRepresentation
bin11011100101100…
…11000011110000
3121010110100202110
431302303003300
5433220421034
634544045320
75510016204
oct1562630360
9533410673
10231420144
111096a341a
1265603840
1338c387c7
1422a40b04
15154b3de9
hexdcb30f0

231420144 has 80 divisors (see below), whose sum is σ = 611353728. Its totient is φ = 75415296.

The previous prime is 231420139. The next prime is 231420173. The reversal of 231420144 is 441024132.

231420144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 231420144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 729874 + ... + 730190.

Almost surely, 2231420144 is an apocalyptic number.

231420144 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 231420144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305676864).

231420144 is an abundant number, since it is smaller than the sum of its proper divisors (379933584).

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

231420144 is a wasteful number, since it uses less digits than its factorization.

231420144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 231420144 is about 15212.4995973706. The cubic root of 231420144 is about 613.9510123712.

Adding to 231420144 its reverse (441024132), we get a palindrome (672444276).

The spelling of 231420144 in words is "two hundred thirty-one million, four hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 227 268 317 402 454 536 634 681 804 908 951 1072 1268 1362 1608 1816 1902 2536 2724 3216 3632 3804 5072 5448 7608 10896 15209 15216 21239 30418 42478 45627 60836 63717 71959 84956 91254 121672 127434 143918 169912 182508 215877 243344 254868 287836 339824 365016 431754 509736 575672 730032 863508 1019472 1151344 1727016 3454032 4821253 9642506 14463759 19285012 28927518 38570024 57855036 77140048 115710072 231420144