Search a number
-
+
20220122022210 = 23351112753607259
BaseRepresentation
bin1001001100011110111010…
…01100001100000101000010
32122121000200001212211102000
410212033131030030011002
510122241302214202320
6111000555033004430
74154566321235445
oct446173514140502
978530601784360
1020220122022210
11649633a820360
122326965b53716
13b38998362016
144dc93290965c
15250e89b2ac90
hex1263dd30c142

20220122022210 has 128 divisors (see below), whose sum is σ = 59285340979200. Its totient is φ = 4863250445760.

The previous prime is 20220122022193. The next prime is 20220122022239. The reversal of 20220122022210 is 1222022102202.

20220122022210 is a `hidden beast` number, since 2 + 0 + 220 + 1 + 220 + 2 + 221 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26426440 + ... + 27180819.

It is an arithmetic number, because the mean of its divisors is an integer number (463166726400).

Almost surely, 220220122022210 is an apocalyptic number.

20220122022210 is an abundant number, since it is smaller than the sum of its proper divisors (39065218956990).

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

20220122022210 is a wasteful number, since it uses less digits than its factorization.

20220122022210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53607413 (or 53607407 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20220122022210 its reverse (1222022102202), we get a palindrome (21442144124412).

The spelling of 20220122022210 in words is "twenty trillion, two hundred twenty billion, one hundred twenty-two million, twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 127 135 165 198 254 270 297 330 381 495 594 635 762 990 1143 1270 1397 1485 1905 2286 2794 2970 3429 3810 4191 5715 6858 6985 8382 11430 12573 13970 17145 20955 25146 34290 37719 41910 62865 75438 125730 188595 377190 53607259 107214518 160821777 268036295 321643554 482465331 536072590 589679849 804108885 964930662 1179359698 1447395993 1608217770 1769039547 2412326655 2894791986 2948399245 3538079094 4824653310 5307118641 5896798490 6808121893 7236979965 8845197735 10614237282 13616243786 14473959930 15921355923 17690395470 20424365679 26535593205 31842711846 34040609465 40848731358 53071186410 61273097037 68081218930 74889340823 79606779615 102121828395 122546194074 149778681646 159213559230 183819291111 204243656790 224668022469 306365485185 367638582222 374446704115 449336044938 612730970370 674004067407 748893408230 919096455555 1123340112345 1348008134814 1838192911110 2022012202221 2246680224690 3370020337035 4044024404442 6740040674070 10110061011105 20220122022210