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2197696536 = 23347736637
BaseRepresentation
bin1000001011111110…
…0011000000011000
312200011100112220000
42002333203000120
514000102242121
61002024133000
7105314053350
oct20277430030
95604315800
102197696536
11a285a6a32
12514007160
13290406069
1416bc3bb60
15cce14526
hex82fe3018

2197696536 has 160 divisors (see below), whose sum is σ = 7132398240. Its totient is φ = 619218432.

The previous prime is 2197696507. The next prime is 2197696559. The reversal of 2197696536 is 6356967912.

2197696536 is a `hidden beast` number, since 2 + 19 + 7 + 6 + 96 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 327810 + ... + 334446.

It is an arithmetic number, because the mean of its divisors is an integer number (44577489).

Almost surely, 22197696536 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 2197696536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566199120).

2197696536 is an abundant number, since it is smaller than the sum of its proper divisors (4934701704).

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

2197696536 is a wasteful number, since it uses less digits than its factorization.

2197696536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6735 (or 6722 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The square root of 2197696536 is about 46879.5961586701. The cubic root of 2197696536 is about 1300.1373693103.

The spelling of 2197696536 in words is "two billion, one hundred ninety-seven million, six hundred ninety-six thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 73 81 84 108 126 146 162 168 189 216 219 252 292 324 378 438 504 511 567 584 648 657 756 876 1022 1134 1314 1512 1533 1752 1971 2044 2268 2628 3066 3942 4088 4536 4599 5256 5913 6132 6637 7884 9198 11826 12264 13274 13797 15768 18396 19911 23652 26548 27594 36792 39822 41391 46459 47304 53096 55188 59733 79644 82782 92918 110376 119466 139377 159288 165564 179199 185836 238932 278754 331128 358398 371672 418131 477864 484501 537597 557508 716796 836262 969002 1075194 1115016 1254393 1433592 1453503 1672524 1938004 2150388 2508786 2907006 3345048 3391507 3763179 3876008 4300776 4360509 5017572 5814012 6783014 7526358 8721018 10035144 10174521 11628024 13081527 13566028 15052716 17442036 20349042 26163054 27132056 30105432 30523563 34884072 39244581 40698084 52326108 61047126 78489162 81396168 91570689 104652216 122094252 156978324 183141378 244188504 274712067 313956648 366282756 549424134 732565512 1098848268 2197696536