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232213330032 = 24329971739941
BaseRepresentation
bin1101100001000011111…
…1100011100001110000
3211012101100100101212220
43120100333203201300
512301033103030112
6254402145321040
722530314511045
oct3302077434160
9735340311786
10232213330032
118a532409902
1239007936180
1318b891020c8
14b34c4771cc
15609154e98c
hex3610fe3870

232213330032 has 160 divisors (see below), whose sum is σ = 630655260480. Its totient is φ = 73529917440.

The previous prime is 232213330001. The next prime is 232213330079. The reversal of 232213330032 is 230033312232.

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 = 232213329984 and 232213330011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23354182 + ... + 23364122.

It is an arithmetic number, because the mean of its divisors is an integer number (3941595378).

Almost surely, 2232213330032 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 232213330032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315327630240).

232213330032 is an abundant number, since it is smaller than the sum of its proper divisors (398441930448).

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

232213330032 is a wasteful number, since it uses less digits than its factorization.

232213330032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10251 (or 10245 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 232213330032 its reverse (230033312232), we get a palindrome (462246642264).

The spelling of 232213330032 in words is "two hundred thirty-two billion, two hundred thirteen million, three hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 97 116 173 174 194 232 291 346 348 388 464 519 582 692 696 776 1038 1164 1384 1392 1552 2076 2328 2768 2813 4152 4656 5017 5626 8304 8439 9941 10034 11252 15051 16781 16878 19882 20068 22504 29823 30102 33562 33756 39764 40136 45008 50343 59646 60204 67124 67512 79528 80272 100686 119292 120408 134248 135024 159056 201372 238584 240816 268496 288289 402744 477168 486649 576578 805488 864867 964277 973298 1153156 1459947 1719793 1729734 1928554 1946596 2306312 2892831 2919894 3439586 3459468 3857108 3893192 4612624 5159379 5785662 5839788 6879172 6918936 7714216 7786384 10318758 11571324 11679576 13758344 13837872 15428432 20637516 23142648 23359152 27516688 27964033 41275032 46285296 49873997 55928066 82550064 83892099 99747994 111856132 149621991 166819921 167784198 199495988 223712264 299243982 333639842 335568396 398991976 447424528 500459763 598487964 667279684 671136792 797983952 1000919526 1196975928 1334559368 1342273584 2001839052 2393951856 2669118736 4003678104 4837777709 8007356208 9675555418 14513333127 19351110836 29026666254 38702221672 58053332508 77404443344 116106665016 232213330032