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20002212340 = 225112292571109
BaseRepresentation
bin10010101000001110…
…011000100111110100
31220121222200200000021
4102220032120213310
5311431031243330
613104444454524
71305446666605
oct225016304764
956558620007
1020002212340
118534800200
123a6284a444
131b69ca0906
14d7a6dddac
157c105667a
hex4a83989f4

20002212340 has 144 divisors (see below), whose sum is σ = 47991560400. Its totient is φ = 6989086720.

The previous prime is 20002212301. The next prime is 20002212343. The reversal of 20002212340 is 4321220002.

It can be written as a sum of positive squares in 8 ways, for example, as 65901924 + 19936310416 = 8118^2 + 141196^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20002212343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18035706 + ... + 18036814.

It is an arithmetic number, because the mean of its divisors is an integer number (333274725).

Almost surely, 220002212340 is an apocalyptic number.

20002212340 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 20002212340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23995780200).

20002212340 is an abundant number, since it is smaller than the sum of its proper divisors (27989348060).

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

20002212340 is a wasteful number, since it uses less digits than its factorization.

20002212340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 20002212340 its reverse (4321220002), we get a palindrome (24323432342).

The spelling of 20002212340 in words is "twenty billion, two million, two hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 121 145 220 242 257 290 319 484 514 580 605 638 1028 1109 1210 1276 1285 1595 2218 2420 2570 2827 3190 3509 4436 5140 5545 5654 6380 7018 7453 11090 11308 12199 14036 14135 14906 17545 22180 24398 28270 29812 31097 32161 35090 37265 48796 56540 60995 62194 64322 70180 74530 81983 121990 124388 128644 134189 149060 155485 160805 163966 243980 268378 285013 310970 321610 327932 353771 409915 536756 570026 621940 643220 670945 707542 819830 901813 1140052 1341890 1415084 1425065 1639660 1768855 1803626 2683780 2850130 3135143 3537710 3607252 3891481 4509065 5700260 6270286 7075420 7782962 8265377 9018130 12540572 15565924 15675715 16530754 18036260 19457405 31351430 33061508 34486573 38914810 41326885 62702860 68973146 77829620 82653770 90919147 137946292 165307540 172432865 181838294 344865730 363676588 454595735 689731460 909191470 1000110617 1818382940 2000221234 4000442468 5000553085 10001106170 20002212340