Search a number
-
+
22021240411240 = 2357997244732237
BaseRepresentation
bin1010000000111001110000…
…01101100101010001101000
32212222012200002220001012121
411000130320031211101220
510341244000021124430
6114500230154521024
74431660603032110
oct500347015452150
985865602801177
1022021240411240
1170201791351a4
122577a44a36174
13c397951c5c85
14561b95a42040
15282c5294da7a
hex140738365468

22021240411240 has 128 divisors (see below), whose sum is σ = 56707766461440. Its totient is φ = 7539250461696.

The previous prime is 22021240411213. The next prime is 22021240411249. The reversal of 22021240411240 is 4211404212022.

It is not an unprimeable number, because it can be changed into a prime (22021240411249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 683088402 + ... + 683120638.

It is an arithmetic number, because the mean of its divisors is an integer number (443029425480).

Almost surely, 222021240411240 is an apocalyptic number.

22021240411240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22021240411240 is an abundant number, since it is smaller than the sum of its proper divisors (34686526050200).

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

22021240411240 is a wasteful number, since it uses less digits than its factorization.

22021240411240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35699 (or 35695 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 22021240411240 its reverse (4211404212022), we get a palindrome (26232644623262).

The spelling of 22021240411240 in words is "twenty-two trillion, twenty-one billion, two hundred forty million, four hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 997 1994 2447 3988 4894 4985 6979 7976 9788 9970 12235 13958 17129 19576 19940 24470 27916 32237 34258 34895 39880 48940 55832 64474 68516 69790 85645 97880 128948 137032 139580 161185 171290 225659 257896 279160 322370 342580 451318 644740 685160 902636 1128295 1289480 1805272 2256590 2439659 4513180 4879318 9026360 9758636 12198295 17077613 19517272 24396590 32140289 34155226 48793180 64280578 68310452 78883939 85388065 97586360 128561156 136620904 157767878 160701445 170776130 224982023 257122312 315535756 321402890 341552260 394419695 449964046 552187573 631071512 642805780 683104520 788839390 899928092 1104375146 1124910115 1285611560 1577678780 1799856184 2208750292 2249820230 2760937865 3155357560 4417500584 4499640460 5521875730 8999280920 11043751460 22087502920 78647287183 157294574366 314589148732 393236435915 550531010281 629178297464 786472871830 1101062020562 1572945743660 2202124041124 2752655051405 3145891487320 4404248082248 5505310102810 11010620205620 22021240411240