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233032200232032 = 25331991355342687
BaseRepresentation
bin110100111111000100001001…
…100001000001110001100000
31010120002122211201000100211000
4310333010021201001301200
5221020444421224411112
62143341303114552000
7100041010105513455
oct6477041141016140
91116078751010730
10233032200232032
1168284445991a93
1222177250438600
13a004ac43a6256
144178b6660d82c
151be1a8044b7dc
hexd3f109841c60

233032200232032 has 96 divisors (see below), whose sum is σ = 683092714752000. Its totient is φ = 77287061326464.

The previous prime is 233032200232019. The next prime is 233032200232087. The reversal of 233032200232032 is 230232002230332.

233032200232032 is a `hidden beast` number, since 2 + 3 + 303 + 2 + 2 + 0 + 0 + 2 + 320 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 233032200231987 and 233032200232005.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 677499408 + ... + 677843279.

It is an arithmetic number, because the mean of its divisors is an integer number (7115549112000).

Almost surely, 2233032200232032 is an apocalyptic number.

It is an amenable number.

233032200232032 is an abundant number, since it is smaller than the sum of its proper divisors (450060514519968).

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

233032200232032 is a wasteful number, since it uses less digits than its factorization.

233032200232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355342905 (or 1355342891 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 233032200232032 its reverse (230232002230332), we get a palindrome (463264202462364).

The spelling of 233032200232032 in words is "two hundred thirty-three trillion, thirty-two billion, two hundred million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 199 216 288 398 432 597 796 864 1194 1592 1791 2388 3184 3582 4776 5373 6368 7164 9552 10746 14328 19104 21492 28656 42984 57312 85968 171936 1355342687 2710685374 4066028061 5421370748 8132056122 10842741496 12198084183 16264112244 21685482992 24396168366 32528224488 36594252549 43370965984 48792336732 65056448976 73188505098 97584673464 130112897952 146377010196 195169346928 269713194713 292754020392 390338693856 539426389426 585508040784 809139584139 1078852778852 1171016081568 1618279168278 2157705557704 2427418752417 3236558336556 4315411115408 4854837504834 6473116673112 7282256257251 8630822230816 9709675009668 12946233346224 14564512514502 19419350019336 25892466692448 29129025029004 38838700038672 58258050058008 77677400077344 116516100116016 233032200232032