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232203123340032 = 28313171368089669
BaseRepresentation
bin110100110011000000000000…
…101011101011001100000000
31010110011101211220120110120110
4310303000000223223030000
5220413403444033340112
62141504350415511320
766624056601303525
oct6463000053531400
91113141756513513
10232203123340032
1167a94878669a39
1222062630228540
139c7487838c150
14414a99669314c
151bca2095c413c
hexd33000aeb300

232203123340032 has 144 divisors (see below), whose sum is σ = 704686571940960. Its totient is φ = 67244343361536.

The previous prime is 232203123340009. The next prime is 232203123340051. The reversal of 232203123340032 is 230043321302232.

It is a happy number.

It is a super-2 number, since 2×2322031233400322 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 683875107 + ... + 684214562.

It is an arithmetic number, because the mean of its divisors is an integer number (4893656749590).

Almost surely, 2232203123340032 is an apocalyptic number.

It is an amenable number.

232203123340032 is an abundant number, since it is smaller than the sum of its proper divisors (472483448600928).

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

232203123340032 is a wasteful number, since it uses less digits than its factorization.

232203123340032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368089718 (or 1368089704 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 232203123340032 its reverse (230043321302232), we get a palindrome (462246444642264).

The spelling of 232203123340032 in words is "two hundred thirty-two trillion, two hundred three billion, one hundred twenty-three million, three hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 192 204 208 221 256 272 312 384 408 416 442 544 624 663 768 816 832 884 1088 1248 1326 1632 1664 1768 2176 2496 2652 3264 3328 3536 4352 4992 5304 6528 7072 9984 10608 13056 14144 21216 28288 42432 56576 84864 169728 1368089669 2736179338 4104269007 5472358676 8208538014 10944717352 16417076028 17785165697 21889434704 23257524373 32834152056 35570331394 43778869408 46515048746 53355497091 65668304112 69772573119 71140662788 87557738816 93030097492 106710994182 131336608224 139545146238 142281325576 175115477632 186060194984 213421988364 262673216448 279090292476 284562651152 302347816849 350230955264 372120389968 426843976728 525346432896 558180584952 569125302304 604695633698 744240779936 853687953456 907043450547 1050692865792 1116361169904 1138250604608 1209391267396 1488481559872 1707375906912 1814086901094 2232722339808 2276501209216 2418782534792 2976963119744 3414751813824 3628173802188 4465444679616 4553002418432 4837565069584 5953926239488 6829503627648 7256347604376 8930889359232 9675130139168 13659007255296 14512695208752 17861778718464 19350260278336 29025390417504 38700520556672 58050780835008 77401041113344 116101561670016 232203123340032