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2195612568 = 233423179823
BaseRepresentation
bin1000001011011110…
…0110001110011000
312200000102200020000
42002313212032120
513444034100233
61001511333000
7105260253552
oct20267461630
95600380200
102195612568
11a27403246
12513381160
1328cb56646
1416b8584d2
15ccb51d13
hex82de6398

2195612568 has 160 divisors (see below), whose sum is σ = 6460819200. Its totient is φ = 695293632.

The previous prime is 2195612561. The next prime is 2195612569. The reversal of 2195612568 is 8652165912.

2195612568 is a `hidden beast` number, since 2 + 1 + 9 + 561 + 25 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2195612561) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2667405 + ... + 2668227.

It is an arithmetic number, because the mean of its divisors is an integer number (40380120).

Almost surely, 22195612568 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 2195612568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3230409600).

2195612568 is an abundant number, since it is smaller than the sum of its proper divisors (4265206632).

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

2195612568 is a wasteful number, since it uses less digits than its factorization.

2195612568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1030 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 2195612568 is about 46857.3640743907. The cubic root of 2195612568 is about 1299.7262871474.

The spelling of 2195612568 in words is "two billion, one hundred ninety-five million, six hundred twelve thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 179 184 207 216 276 324 358 414 537 552 621 648 716 823 828 1074 1242 1432 1611 1646 1656 1863 2148 2469 2484 3222 3292 3726 4117 4296 4833 4938 4968 6444 6584 7407 7452 8234 9666 9876 12351 12888 14499 14814 14904 16468 18929 19332 19752 22221 24702 28998 29628 32936 37053 37858 38664 44442 49404 56787 57996 59256 66663 74106 75716 88884 98808 111159 113574 115992 133326 147317 148212 151432 170361 177768 222318 227148 266652 294634 296424 333477 340722 441951 444636 454296 511083 533304 589268 666954 681444 883902 889272 1022166 1178536 1325853 1333908 1362888 1533249 1767804 2044332 2651706 2667816 3066498 3388291 3535608 3977559 4088664 5303412 6132996 6776582 7955118 10164873 10606824 11932677 12265992 13553164 15910236 20329746 23865354 27106328 30494619 31820472 40659492 47730708 60989238 81318984 91483857 95461416 121978476 182967714 243956952 274451571 365935428 548903142 731870856 1097806284 2195612568