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232321223024 = 241129261717393
BaseRepresentation
bin1101100001011101101…
…1001000100101110000
3211012122212100221020122
43120113123020211300
512301243213114044
6254421002025412
722533064545632
oct3302733104560
9735585327218
10232321223024
118a588301470
1239037aa8268
1318ba557a407
14b35c920a52
15609ac62dee
hex36176c8970

232321223024 has 80 divisors (see below), whose sum is σ = 508198410720. Its totient is φ = 101914337280.

The previous prime is 232321223021. The next prime is 232321223077. The reversal of 232321223024 is 420322123232.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 232321222984 and 232321223002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232321223021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13348472 + ... + 13365864.

It is an arithmetic number, because the mean of its divisors is an integer number (6352480134).

Almost surely, 2232321223024 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 232321223024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254099205360).

232321223024 is an abundant number, since it is smaller than the sum of its proper divisors (275877187696).

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

232321223024 is a wasteful number, since it uses less digits than its factorization.

232321223024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20058 (or 20052 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 232321223024 its reverse (420322123232), we get a palindrome (652643346256).

The spelling of 232321223024 in words is "two hundred thirty-two billion, three hundred twenty-one million, two hundred twenty-three thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 464 638 1276 2552 2617 5104 5234 10468 17393 20936 28787 34786 41872 57574 69572 75893 115148 139144 151786 191323 230296 278288 303572 382646 460592 504397 607144 765292 834823 1008794 1214288 1530584 1669646 2017588 3061168 3339292 4035176 5548367 6678584 8070352 11096734 13357168 22193468 44386936 45517481 88773872 91034962 182069924 364139848 500692291 728279696 1001384582 1320006949 2002769164 2640013898 4005538328 5280027796 8011076656 10560055592 14520076439 21120111184 29040152878 58080305756 116160611512 232321223024