Search a number
-
+
20022202222002 = 23243163557328477
BaseRepresentation
bin1001000110101110010000…
…10000000100010110110010
32121220002210200212020120100
410203113020100010112302
510111020432232101002
6110330023412453230
74134361556551041
oct443271020042662
977802720766510
1020022202222002
11641a4061a4042
1222b452b01a216
13b23115cba4c6
144d3118bdc558
1524ac5410c11c
hex1235c84045b2

20022202222002 has 96 divisors (see below), whose sum is σ = 44672224753728. Its totient is φ = 6477473536128.

The previous prime is 20022202221953. The next prime is 20022202222037. The reversal of 20022202222002 is 20022220222002.

20022202222002 is a `hidden beast` number, since 20 + 0 + 2 + 220 + 222 + 200 + 2 = 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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 703086588 + ... + 703115064.

It is an arithmetic number, because the mean of its divisors is an integer number (465335674518).

Almost surely, 220022202222002 is an apocalyptic number.

20022202222002 is an abundant number, since it is smaller than the sum of its proper divisors (24650022531726).

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

20022202222002 is a wasteful number, since it uses less digits than its factorization.

20022202222002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34264 (or 34261 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 20022202222002 its reverse (20022220222002), we get a palindrome (40044422444004).

The spelling of 20022202222002 in words is "twenty trillion, twenty-two billion, two hundred two million, two hundred twenty-two thousand, two".

Divisors: 1 2 3 6 9 18 43 86 129 163 258 326 387 489 774 978 1467 2934 5573 7009 11146 14018 16719 21027 28477 33438 42054 50157 56954 63081 85431 100314 126162 170862 239639 256293 479278 512586 718917 908399 1224511 1437834 1816798 2156751 2449022 2725197 3673533 4313502 4641751 5450394 7347066 8175591 9283502 11020599 13925253 16351182 22041198 27850506 39061157 41775759 78122314 83551518 117183471 158702321 199595293 234366942 317404642 351550413 399190586 476106963 598785879 703100826 952213926 1197571758 1428320889 1796357637 2856641778 3592715274 6824199803 13648399606 20472599409 25868478323 40945198818 51736956646 61417798227 77605434969 122835596454 155210869938 232816304907 465632609814 1112344567889 2224689135778 3337033703667 6674067407334 10011101111001 20022202222002