Search a number
-
+
20322243020 = 2251726797541
BaseRepresentation
bin10010111011010011…
…001101000111001100
31221110021212220120102
4102323103031013030
5313104443234040
613200320110232
71316414133632
oct227323150714
957407786512
1020322243020
118689415a72
123b31a65378
131bbb392a91
14dab009352
157de1c0515
hex4bb4cd1cc

20322243020 has 144 divisors (see below), whose sum is σ = 46571683872. Its totient is φ = 7445053440.

The previous prime is 20322242999. The next prime is 20322243059. The reversal of 20322243020 is 2034222302.

It is a super-2 number, since 2×203222430202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20322242983 and 20322243001.

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, 37563950 + ... + 37564490.

Almost surely, 220322243020 is an apocalyptic number.

20322243020 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 20322243020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23285841936).

20322243020 is an abundant number, since it is smaller than the sum of its proper divisors (26249440852).

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

20322243020 is a wasteful number, since it uses less digits than its factorization.

20322243020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 20322243020 its reverse (2034222302), we get a palindrome (22356465322).

The spelling of 20322243020 in words is "twenty billion, three hundred twenty-two million, two hundred forty-three thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 67 68 85 97 134 170 194 268 289 335 340 388 485 541 578 670 970 1082 1139 1156 1340 1445 1649 1940 2164 2278 2705 2890 3298 4556 5410 5695 5780 6499 6596 8245 9197 10820 11390 12998 16490 18394 19363 22780 25996 28033 32495 32980 36247 36788 38726 45985 52477 56066 64990 72494 77452 91970 96815 104954 110483 112132 129980 140165 144988 156349 181235 183940 193630 209908 220966 262385 280330 312698 362470 387260 441932 524770 552415 560660 616199 625396 724940 781745 892109 1049540 1104830 1232398 1563490 1784218 1878211 2209660 2464796 3080995 3126980 3515959 3568436 3756422 4460545 6161990 7031918 7512844 8921090 9391055 10475383 12323980 14063836 15165853 17579795 17842180 18782110 20950766 30331706 35159590 37564220 41901532 52376915 59771303 60663412 70319180 75829265 104753830 119542606 151658530 209507660 239085212 298856515 303317060 597713030 1016112151 1195426060 2032224302 4064448604 5080560755 10161121510 20322243020