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2212977132 = 223341717039
BaseRepresentation
bin1000001111100111…
…0101100111101100
312201020002212221000
42003321311213230
514013010232012
61003331440300
7105560665242
oct20371654754
95636085830
102212977132
11a36193523
12519156090
13293626332
1416dc98792
15ce431ddc
hex83e759ec

2212977132 has 96 divisors (see below), whose sum is σ = 5960908800. Its totient is φ = 709430400.

The previous prime is 2212977127. The next prime is 2212977157. The reversal of 2212977132 is 2317792122.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310869 + ... + 317907.

It is an arithmetic number, because the mean of its divisors is an integer number (62092800).

Almost surely, 22212977132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212977132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980454400).

2212977132 is an abundant number, since it is smaller than the sum of its proper divisors (3747931668).

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

2212977132 is a wasteful number, since it uses less digits than its factorization.

2212977132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7164 (or 7156 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 2212977132 is about 47042.2908880934. The cubic root of 2212977132 is about 1303.1436997679.

The spelling of 2212977132 in words is "two billion, two hundred twelve million, nine hundred seventy-seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 71 82 108 123 142 164 213 246 284 369 426 492 639 738 852 1107 1278 1476 1917 2214 2556 2911 3834 4428 5822 7039 7668 8733 11644 14078 17466 21117 26199 28156 34932 42234 52398 63351 78597 84468 104796 126702 157194 190053 253404 288599 314388 380106 499769 577198 760212 865797 999538 1154396 1499307 1731594 1999076 2597391 2998614 3463188 4497921 5194782 5997228 7792173 8995842 10389564 13493763 15584346 17991684 20490529 26987526 31168692 40981058 53975052 61471587 81962116 122943174 184414761 245886348 368829522 553244283 737659044 1106488566 2212977132