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22832106 = 23112979151
BaseRepresentation
bin101011100011…
…0001111101010
31120221222202120
41113012033222
521321111411
62133212110
7365032623
oct127061752
946858676
1022832106
1111985110
127791036
13496552b
143064a4a
152010106
hex15c63ea

22832106 has 64 divisors (see below), whose sum is σ = 52531200. Its totient is φ = 6552000.

The previous prime is 22832081. The next prime is 22832107. The reversal of 22832106 is 60123822.

It is not an unprimeable number, because it can be changed into a prime (22832107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151131 + ... + 151281.

It is an arithmetic number, because the mean of its divisors is an integer number (820800).

Almost surely, 222832106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22832106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26265600).

22832106 is an abundant number, since it is smaller than the sum of its proper divisors (29699094).

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

22832106 is a wasteful number, since it uses less digits than its factorization.

22832106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 22832106 is about 4778.2953027204. The cubic root of 22832106 is about 283.6930244560.

Adding to 22832106 its reverse (60123822), we get a palindrome (82955928).

The spelling of 22832106 in words is "twenty-two million, eight hundred thirty-two thousand, one hundred six".

Divisors: 1 2 3 6 11 22 29 33 58 66 79 87 151 158 174 237 302 319 453 474 638 869 906 957 1661 1738 1914 2291 2607 3322 4379 4582 4983 5214 6873 8758 9966 11929 13137 13746 23858 25201 26274 35787 48169 50402 71574 75603 96338 131219 144507 151206 262438 289014 345941 393657 691882 787314 1037823 2075646 3805351 7610702 11416053 22832106