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2215252312 = 2371331103953
BaseRepresentation
bin1000010000001010…
…0001000101011000
312201101101110212221
42010002201011120
514014101033222
61003452313424
7105616222360
oct20402410530
95641343787
102215252312
11a374a7939
12519a72874
13293c41ab0
141702cb9a0
15ce7310c7
hex840a1158

2215252312 has 128 divisors (see below), whose sum is σ = 5333852160. Its totient is φ = 838978560.

The previous prime is 2215252297. The next prime is 2215252357. The reversal of 2215252312 is 2132525122.

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, 2324028 + ... + 2324980.

It is an arithmetic number, because the mean of its divisors is an integer number (41670720).

Almost surely, 22215252312 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 2215252312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666926080).

2215252312 is an abundant number, since it is smaller than the sum of its proper divisors (3118599848).

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

2215252312 is a wasteful number, since it uses less digits than its factorization.

2215252312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1109 counting only the distinct ones).

The product of its digits is 2400, while the sum is 25.

The square root of 2215252312 is about 47066.4669589720. The cubic root of 2215252312 is about 1303.5901377277.

Adding to 2215252312 its reverse (2132525122), we get a palindrome (4347777434).

The spelling of 2215252312 in words is "two billion, two hundred fifteen million, two hundred fifty-two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 31 52 56 62 91 103 104 124 182 206 217 248 364 403 412 434 721 728 806 824 868 953 1339 1442 1612 1736 1906 2678 2821 2884 3193 3224 3812 5356 5642 5768 6386 6671 7624 9373 10712 11284 12389 12772 13342 18746 22351 22568 24778 25544 26684 29543 37492 41509 44702 49556 53368 59086 74984 83018 86723 89404 98159 99112 118172 166036 173446 178808 196318 206801 236344 290563 332072 346892 384059 392636 413602 581126 687113 693784 768118 785272 827204 1162252 1276067 1374226 1536236 1654408 2324504 2552134 2688413 2748452 3042929 3072472 5104268 5376826 5496904 6085858 8932469 10208536 10753652 12171716 17864938 21300503 21507304 24343432 35729876 39558077 42601006 71459752 79116154 85202012 158232308 170404024 276906539 316464616 553813078 1107626156 2215252312