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2182882812 = 2231179353593
BaseRepresentation
bin1000001000011100…
…0010010111111100
312122010110221021120
42002013002113330
513432304222222
61000334430540
7105044124555
oct20207022774
95563427246
102182882812
11a201a9190
1250b062450
1328a31a446
14169ca332c
15cb98a15c
hex821c25fc

2182882812 has 96 divisors (see below), whose sum is σ = 5652218880. Its totient is φ = 650158080.

The previous prime is 2182882799. The next prime is 2182882817.

2182882812 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2182882817) 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, 3680788 + ... + 3681380.

It is an arithmetic number, because the mean of its divisors is an integer number (58877280).

Almost surely, 22182882812 is an apocalyptic number.

2182882812 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2182882812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2826109440).

2182882812 is an abundant number, since it is smaller than the sum of its proper divisors (3469336068).

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

2182882812 is a wasteful number, since it uses less digits than its factorization.

2182882812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1041 counting only the distinct ones).

The product of its digits is 65536, while the sum is 42.

The square root of 2182882812 is about 46721.3314450691. The cubic root of 2182882812 is about 1297.2095593982.

The spelling of 2182882812 in words is "two billion, one hundred eighty-two million, eight hundred eighty-two thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 132 158 237 316 353 474 593 706 869 948 1059 1186 1412 1738 1779 2118 2372 2607 3476 3558 3883 4236 5214 6523 7116 7766 10428 11649 13046 15532 19569 23298 26092 27887 39138 46596 46847 55774 78276 83661 93694 111548 140541 167322 187388 209329 281082 306757 334644 418658 515317 562164 613514 627987 837316 920271 1030634 1227028 1255974 1545951 1840542 2061268 2302619 2511948 3091902 3681084 4605238 6183804 6907857 9210476 13815714 16536991 27631428 33073982 49610973 66147964 99221946 181906901 198443892 363813802 545720703 727627604 1091441406 2182882812