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12033164 = 221113109193
BaseRepresentation
bin101101111001…
…110010001100
3211122100101202
4231321302030
511040030124
61105525032
7204165053
oct55716214
924570352
1012033164
116879770
124043778
132654120
14185339a
1510ca5ae
hexb79c8c

12033164 has 48 divisors (see below), whose sum is σ = 25095840. Its totient is φ = 4976640.

The previous prime is 12033107. The next prime is 12033167. The reversal of 12033164 is 46133021.

It is a super-3 number, since 3×120331643 (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12033167) 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 15 ways as a sum of consecutive naturals, for example, 62252 + ... + 62444.

It is an arithmetic number, because the mean of its divisors is an integer number (522830).

Almost surely, 212033164 is an apocalyptic number.

It is an amenable number.

12033164 is an abundant number, since it is smaller than the sum of its proper divisors (13062676).

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

12033164 is a wasteful number, since it uses less digits than its factorization.

12033164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 12033164 is about 3468.8851234943. The cubic root of 12033164 is about 229.1535617557.

Adding to 12033164 its reverse (46133021), we get a palindrome (58166185).

The spelling of 12033164 in words is "twelve million, thirty-three thousand, one hundred sixty-four".

Divisors: 1 2 4 11 13 22 26 44 52 109 143 193 218 286 386 436 572 772 1199 1417 2123 2398 2509 2834 4246 4796 5018 5668 8492 10036 15587 21037 27599 31174 42074 55198 62348 84148 110396 231407 273481 462814 546962 925628 1093924 3008291 6016582 12033164