Search a number
-
+
210212022220020 = 223252973551650717
BaseRepresentation
bin101111110010111111001100…
…111010010111010011110100
31000120022001222021002001101100
4233302333030322113103310
5210023103210142020040
62023030023030330100
762164213606056222
oct5762771472272364
91016261867061340
10210212022220020
1160a86466366397
121b6b05b8ab9930
13903aba737ab12
1439ca45d797b12
15194816cb15b30
hexbf2fcce974f4

210212022220020 has 144 divisors (see below), whose sum is σ = 668666868302160. Its totient is φ = 53382136485888.

The previous prime is 210212022219949. The next prime is 210212022220051. The reversal of 210212022220020 is 20022220212012.

210212022220020 is a `hidden beast` number, since 2 + 10 + 212 + 0 + 222 + 200 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6203476899684 + 204008545320336 = 2490678^2 + 14283156^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 210212022219975 and 210212022220002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275444299 + ... + 276206418.

It is an arithmetic number, because the mean of its divisors is an integer number (4643519918765).

Almost surely, 2210212022220020 is an apocalyptic number.

210212022220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210212022220020 is an abundant number, since it is smaller than the sum of its proper divisors (458454846082140).

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

210212022220020 is a wasteful number, since it uses less digits than its factorization.

210212022220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551650834 (or 551650829 counting only the distinct ones).

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

Adding to 210212022220020 its reverse (20022220212012), we get a palindrome (230234242432032).

The spelling of 210212022220020 in words is "two hundred ten trillion, two hundred twelve billion, twenty-two million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 73 87 90 116 145 146 174 180 219 261 290 292 348 365 435 438 522 580 657 730 870 876 1044 1095 1305 1314 1460 1740 2117 2190 2610 2628 3285 4234 4380 5220 6351 6570 8468 10585 12702 13140 19053 21170 25404 31755 38106 42340 63510 76212 95265 127020 190530 381060 551650717 1103301434 1654952151 2206602868 2758253585 3309904302 4964856453 5516507170 6619808604 8274760755 9929712906 11033014340 15997870793 16549521510 19859425812 24824282265 31995741586 33099043020 40270502341 47993612379 49648564530 63991483172 79989353965 80541004682 95987224758 99297129060 120811507023 143980837137 159978707930 161082009364 191974449516 201352511705 239968061895 241623014046 287961674274 319957415860 362434521069 402705023410 479936123790 483246028092 575923348548 604057535115 719904185685 724869042138 805410046820 959872247580 1167844567889 1208115070230 1439808371370 1449738084276 1812172605345 2335689135778 2416230140460 2879616742740 3503533703667 3624345210690 4671378271556 5839222839445 7007067407334 7248690421380 10510601111001 11678445678890 14014134814668 17517668518335 21021202222002 23356891357780 35035337036670 42042404444004 52553005555005 70070674073340 105106011110010 210212022220020