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232320112224 = 2533765405437
BaseRepresentation
bin1101100001011101011…
…0111001011001100000
3211012122210021111111220
43120113112321121200
512301242422042344
6254420522135040
722533052241304
oct3302726713140
9735583244456
10232320112224
118a587712952
1239037651480
1318ba527b935
14b35c711d04
15609aae3c19
hex36175b9660

232320112224 has 48 divisors (see below), whose sum is σ = 626322474288. Its totient is φ = 75347062272.

The previous prime is 232320112183. The next prime is 232320112229. The reversal of 232320112224 is 422211023232.

232320112224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 232320112194 and 232320112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232320112229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32699167 + ... + 32706270.

It is an arithmetic number, because the mean of its divisors is an integer number (13048384881).

Almost surely, 2232320112224 is an apocalyptic number.

232320112224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

232320112224 is an abundant number, since it is smaller than the sum of its proper divisors (394002362064).

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

232320112224 is a wasteful number, since it uses less digits than its factorization.

232320112224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65405487 (or 65405479 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 232320112224 its reverse (422211023232), we get a palindrome (654531135456).

The spelling of 232320112224 in words is "two hundred thirty-two billion, three hundred twenty million, one hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 65405437 130810874 196216311 261621748 392432622 523243496 784865244 1046486992 1569730488 2092973984 2420001169 3139460976 4840002338 6278921952 7260003507 9680004676 14520007014 19360009352 29040014028 38720018704 58080028056 77440037408 116160056112 232320112224