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233213313032 = 23721567379663
BaseRepresentation
bin1101100100110010011…
…0001100000000001000
3211021222000222210200022
43121030212030000020
512310110102004112
6255045310400012
722564146311300
oct3311446140010
9737860883608
10233213313032
118a9a5920937
1239246800008
1318cb833461b
14b4051bc600
1560ee22ad72
hex364c98c008

233213313032 has 48 divisors (see below), whose sum is σ = 508992744960. Its totient is φ = 99884516256.

The previous prime is 233213313031. The next prime is 233213313061. The reversal of 233213313032 is 230313312332.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 233213312992 and 233213313010.

It is not an unprimeable number, because it can be changed into a prime (233213313031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 424433 + ... + 804095.

It is an arithmetic number, because the mean of its divisors is an integer number (10604015520).

Almost surely, 2233213313032 is an apocalyptic number.

It is an amenable number.

233213313032 is an abundant number, since it is smaller than the sum of its proper divisors (275779431928).

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

233213313032 is a wasteful number, since it uses less digits than its factorization.

233213313032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381250 (or 381239 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 233213313032 its reverse (230313312332), we get a palindrome (463526625364).

The spelling of 233213313032 in words is "two hundred thirty-three billion, two hundred thirteen million, three hundred thirteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 1567 3134 6268 10969 12536 21938 43876 76783 87752 153566 307132 379663 614264 759326 1518652 2657641 3037304 5315282 10630564 18603487 21261128 37206974 74413948 148827896 594931921 1189863842 2379727684 4164523447 4759455368 8329046894 16658093788 29151664129 33316187576 58303328258 116606656516 233213313032