Search a number
-
+
22651201565040 = 24355631499111833
BaseRepresentation
bin1010010011001111001001…
…10100101011000101110000
32222012102201011221102002210
411021213210310223011300
510432104130100040130
6120101452432412120
74525331614344546
oct511474464530560
988172634842083
1022651201565040
11724335884a024
122659b556a7040
13c83ccb166c49
145844770dbd96
15294322cc05b0
hex1499e4d2b170

22651201565040 has 160 divisors (see below), whose sum is σ = 70391003616000. Its totient is φ = 6025515317248.

The previous prime is 22651201565021. The next prime is 22651201565071. The reversal of 22651201565040 is 4056510215622.

It is a self number, because there is not a number n which added to its sum of digits gives 22651201565040.

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, 202488964 + ... + 202600796.

It is an arithmetic number, because the mean of its divisors is an integer number (439943772600).

Almost surely, 222651201565040 is an apocalyptic number.

22651201565040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22651201565040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35195501808000).

22651201565040 is an abundant number, since it is smaller than the sum of its proper divisors (47739802050960).

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

22651201565040 is a wasteful number, since it uses less digits than its factorization.

22651201565040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113911 (or 113905 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 22651201565040 in words is "twenty-two trillion, six hundred fifty-one billion, two hundred one million, five hundred sixty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 563 1126 1499 1689 2252 2815 2998 3378 4497 4504 5630 5996 6756 7495 8445 8994 9008 11260 11992 13512 14990 16890 17988 22485 22520 23984 27024 29980 33780 35976 44970 45040 59960 67560 71952 89940 111833 119920 135120 179880 223666 335499 359760 447332 559165 670998 843937 894664 1118330 1341996 1677495 1687874 1789328 2236660 2531811 2683992 3354990 3375748 4219685 4473320 5063622 5367984 6709980 6751496 8439370 8946640 10127244 12659055 13419960 13502992 16878740 20254488 25318110 26839920 33757480 40508976 50636220 62961979 67514960 101272440 125923958 167637667 188885937 202544880 251847916 314809895 335275334 377771874 502913001 503695832 629619790 670550668 755543748 838188335 944429685 1005826002 1007391664 1259239580 1341101336 1511087496 1676376670 1888859370 2011652004 2514565005 2518479160 2682202672 3022174992 3352753340 3777718740 4023304008 5029130010 5036958320 6705506680 7555437480 8046608016 10058260020 13411013360 15110874960 20116520040 40233040080 94380006521 188760013042 283140019563 377520026084 471900032605 566280039126 755040052168 943800065210 1132560078252 1415700097815 1510080104336 1887600130420 2265120156504 2831400195630 3775200260840 4530240313008 5662800391260 7550400521680 11325600782520 22651201565040