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2165328312 = 2337194191619
BaseRepresentation
bin1000000100010000…
…0100100110111000
312120220110002000220
42001010010212320
513413311001222
6554510300040
7104441662350
oct20104044670
95526402026
102165328312
11a112a9234
125051b7620
132867b2174
14167813b60
15ca16db5c
hex811049b8

2165328312 has 128 divisors (see below), whose sum is σ = 6531840000. Its totient is φ = 584343936.

The previous prime is 2165328287. The next prime is 2165328323. The reversal of 2165328312 is 2138235612.

It is a congruent number.

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, 1336639 + ... + 1338257.

It is an arithmetic number, because the mean of its divisors is an integer number (51030000).

Almost surely, 22165328312 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 2165328312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265920000).

2165328312 is an abundant number, since it is smaller than the sum of its proper divisors (4366511688).

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

2165328312 is a wasteful number, since it uses less digits than its factorization.

2165328312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073 (or 2069 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 2165328312 is about 46533.0883565662. The cubic root of 2165328312 is about 1293.7228578964.

The spelling of 2165328312 in words is "two billion, one hundred sixty-five million, three hundred twenty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 419 456 532 798 838 1064 1257 1596 1619 1676 2514 2933 3192 3238 3352 4857 5028 5866 6476 7961 8799 9714 10056 11333 11732 12952 15922 17598 19428 22666 23464 23883 30761 31844 33999 35196 38856 45332 47766 55727 61522 63688 67998 70392 90664 92283 95532 111454 123044 135996 167181 184566 191064 215327 222908 246088 271992 334362 369132 430654 445816 645981 668724 678361 738264 861308 1291962 1337448 1356722 1722616 2035083 2583924 2713444 4070166 4748527 5167848 5426888 8140332 9497054 12888859 14245581 16280664 18994108 25777718 28491162 37988216 38666577 51555436 56982324 77333154 90222013 103110872 113964648 154666308 180444026 270666039 309332616 360888052 541332078 721776104 1082664156 2165328312