Search a number
-
+
2196615672 = 233429412851
BaseRepresentation
bin1000001011101101…
…1011000111111000
312200002022122020000
42002323123013320
513444313200142
61001545033000
7105301632216
oct20273330770
95602278200
102196615672
11a27a28959
12513785760
132901180b4
1416ba39cb6
15ccc9e14c
hex82edb1f8

2196615672 has 160 divisors (see below), whose sum is σ = 6522238800. Its totient is φ = 689472000.

The previous prime is 2196615649. The next prime is 2196615683. The reversal of 2196615672 is 2765166912.

2196615672 is a `hidden beast` number, since 21 + 9 + 6 + 61 + 567 + 2 = 666.

It is a super-3 number, since 3×21966156723 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 769047 + ... + 771897.

Almost surely, 22196615672 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 2196615672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261119400).

2196615672 is an abundant number, since it is smaller than the sum of its proper divisors (4325623128).

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

2196615672 is a wasteful number, since it uses less digits than its factorization.

2196615672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939 (or 2926 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 2196615672 is about 46868.0666552398. The cubic root of 2196615672 is about 1299.9241912401.

The spelling of 2196615672 in words is "two billion, one hundred ninety-six million, six hundred fifteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 41 54 58 72 81 82 87 108 116 123 162 164 174 216 232 246 261 324 328 348 369 492 522 648 696 738 783 984 1044 1107 1189 1476 1566 2088 2214 2349 2378 2851 2952 3132 3321 3567 4428 4698 4756 5702 6264 6642 7134 8553 8856 9396 9512 10701 11404 13284 14268 17106 18792 21402 22808 25659 26568 28536 32103 34212 42804 51318 64206 68424 76977 82679 85608 96309 102636 116891 128412 153954 165358 192618 205272 230931 233782 248037 256824 307908 330716 350673 385236 461862 467564 496074 615816 661432 701346 744111 770472 923724 935128 992148 1052019 1402692 1488222 1847448 1984296 2104038 2232333 2805384 2976444 3156057 3389839 4208076 4464666 5952888 6312114 6696999 6779678 8416152 8929332 9468171 10169517 12624228 13393998 13559356 17858664 18936342 20339034 25248456 26787996 27118712 30508551 37872684 40678068 53575992 61017102 75745368 81356136 91525653 122034204 183051306 244068408 274576959 366102612 549153918 732205224 1098307836 2196615672