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233001342234 = 23323511835321
BaseRepresentation
bin1101100011111111110…
…1100101010100011010
3211021102021010120102000
43120333331211110122
512304141320422414
6255012255221430
722555663505523
oct3307775452432
9737367116360
10233001342234
118a8a7202061
12391a7817876
1318c8344870b
14b3c4da184a
1560da809b09
hex363ff6551a

233001342234 has 32 divisors (see below), whose sum is σ = 518001281280. Its totient is φ = 77634036000.

The previous prime is 233001342209. The next prime is 233001342271. The reversal of 233001342234 is 432243100332.

233001342234 is a `hidden beast` number, since 2 + 3 + 300 + 134 + 223 + 4 = 666.

It is a super-2 number, since 2×2330013422342 (a number of 24 digits) contains 22 as substring.

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 = 233001342198 and 233001342207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 790707 + ... + 1044614.

It is an arithmetic number, because the mean of its divisors is an integer number (16187540040).

Almost surely, 2233001342234 is an apocalyptic number.

233001342234 is an abundant number, since it is smaller than the sum of its proper divisors (284999939046).

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

233001342234 is a wasteful number, since it uses less digits than its factorization.

233001342234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837683 (or 1837677 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 233001342234 its reverse (432243100332), we get a palindrome (665244442566).

The spelling of 233001342234 in words is "two hundred thirty-three billion, one million, three hundred forty-two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 2351 4702 7053 14106 21159 42318 63477 126954 1835321 3670642 5505963 11011926 16517889 33035778 49553667 99107334 4314839671 8629679342 12944519013 25889038026 38833557039 77667114078 116500671117 233001342234