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22340023440 = 2435797137089
BaseRepresentation
bin10100110011100100…
…011011010010010000
32010122220200202221120
4110303210123102100
5331223021222230
614132440122240
71420415031450
oct246344332220
963586622846
1022340023440
1195243a7299
1243b5766380
1321504241a7
14111cdb1d60
158ab3e6310
hex53391b490

22340023440 has 160 divisors (see below), whose sum is σ = 79964048640. Its totient is φ = 5053612032.

The previous prime is 22340023439. The next prime is 22340023463. The reversal of 22340023440 is 4432004322.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22340023440.

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, 94416 + ... + 231504.

It is an arithmetic number, because the mean of its divisors is an integer number (499775304).

Almost surely, 222340023440 is an apocalyptic number.

22340023440 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 22340023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39982024320).

22340023440 is an abundant number, since it is smaller than the sum of its proper divisors (57624025200).

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

22340023440 is a wasteful number, since it uses less digits than its factorization.

22340023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137209 (or 137203 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 22340023440 its reverse (4432004322), we get a palindrome (26772027762).

The spelling of 22340023440 in words is "twenty-two billion, three hundred forty million, twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 97 105 112 120 140 168 194 210 240 280 291 336 388 420 485 560 582 679 776 840 970 1164 1358 1455 1552 1680 1940 2037 2328 2716 2910 3395 3880 4074 4656 5432 5820 6790 7760 8148 10185 10864 11640 13580 16296 20370 23280 27160 32592 40740 54320 81480 137089 162960 274178 411267 548356 685445 822534 959623 1096712 1370890 1645068 1919246 2056335 2193424 2741780 2878869 3290136 3838492 4112670 4798115 5483560 5757738 6580272 7676984 8225340 9596230 10967120 11515476 13297633 14394345 15353968 16450680 19192460 23030952 26595266 28788690 32901360 38384920 39892899 46061904 53190532 57577380 66488165 76769840 79785798 93083431 106381064 115154760 132976330 159571596 186166862 199464495 212762128 230309520 265952660 279250293 319143192 372333724 398928990 465417155 531905320 558500586 638286384 744667448 797857980 930834310 1063810640 1117001172 1396251465 1489334896 1595715960 1861668620 2234002344 2792502930 3191431920 3723337240 4468004688 5585005860 7446674480 11170011720 22340023440