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20205221520 = 2435119917723
BaseRepresentation
bin10010110100010100…
…110011011010010000
31221011010200121020210
4102310110303122100
5312340014042040
613140540004120
71313463356241
oct226424633220
957133617223
1020205221520
118629358a90
123aba830640
131ba006c7a3
14d99666cc8
157d3ca7480
hex4b4533690

20205221520 has 160 divisors (see below), whose sum is σ = 68408193024. Its totient is φ = 4892659200.

The previous prime is 20205221513. The next prime is 20205221527. The reversal of 20205221520 is 2512250202.

It is an interprime number because it is at equal distance from previous prime (20205221513) and next prime (20205221527).

It is a super-2 number, since 2×202052215202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20205221527) 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, 2612379 + ... + 2620101.

Almost surely, 220205221520 is an apocalyptic number.

20205221520 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 20205221520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34204096512).

20205221520 is an abundant number, since it is smaller than the sum of its proper divisors (48202971504).

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

20205221520 is a wasteful number, since it uses less digits than its factorization.

20205221520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8741 (or 8735 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

Adding to 20205221520 its reverse (2512250202), we get a palindrome (22717471722).

The spelling of 20205221520 in words is "twenty billion, two hundred five million, two hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 991 1320 1982 2640 2973 3964 4955 5946 7723 7928 9910 10901 11892 14865 15446 15856 19820 21802 23169 23784 29730 30892 32703 38615 39640 43604 46338 47568 54505 59460 61784 65406 77230 79280 84953 87208 92676 109010 115845 118920 123568 130812 154460 163515 169906 174416 185352 218020 231690 237840 254859 261624 308920 327030 339812 370704 424765 436040 463380 509718 523248 617840 654060 679624 849530 872080 926760 1019436 1274295 1308120 1359248 1699060 1853520 2038872 2548590 2616240 3398120 4077744 5097180 6796240 7653493 10194360 15306986 20388720 22960479 30613972 38267465 45920958 61227944 76534930 84188423 91841916 114802395 122455888 153069860 168376846 183683832 229604790 252565269 306139720 336753692 367367664 420942115 459209580 505130538 612279440 673507384 841884230 918419160 1010261076 1262826345 1347014768 1683768460 1836838320 2020522152 2525652690 3367536920 4041044304 5051305380 6735073840 10102610760 20205221520