Search a number
-
+
20265220170 = 23351343134269
BaseRepresentation
bin10010110111111001…
…101011100001001010
31221022022120211221000
4102313321223201022
5313000344021140
613150521555430
71315122346356
oct226771534112
957268524830
1020265220170
11865a208948
123b16945b76
131bac618c50
14da3604466
157d91a9a30
hex4b7e6b84a

20265220170 has 128 divisors (see below), whose sum is σ = 59551430400. Its totient is φ = 4872317184.

The previous prime is 20265220163. The next prime is 20265220187. The reversal of 20265220170 is 7102256202.

20265220170 is a `hidden beast` number, since 2 + 0 + 2 + 652 + 2 + 0 + 1 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83796 + ... + 218064.

It is an arithmetic number, because the mean of its divisors is an integer number (465245550).

Almost surely, 220265220170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20265220170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29775715200).

20265220170 is an abundant number, since it is smaller than the sum of its proper divisors (39286210230).

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

20265220170 is a wasteful number, since it uses less digits than its factorization.

20265220170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134341 (or 134335 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 20265220170 its reverse (7102256202), we get a palindrome (27367476372).

The spelling of 20265220170 in words is "twenty billion, two hundred sixty-five million, two hundred twenty thousand, one hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 43 45 54 65 78 86 90 117 129 130 135 195 215 234 258 270 351 387 390 430 559 585 645 702 774 1118 1161 1170 1290 1677 1755 1935 2322 2795 3354 3510 3870 5031 5590 5805 8385 10062 11610 15093 16770 25155 30186 50310 75465 134269 150930 268538 402807 671345 805614 1208421 1342690 1745497 2014035 2416842 3490994 3625263 4028070 5236491 5773567 6042105 7250526 8727485 10472982 11547134 12084210 15709473 17320701 17454970 18126315 26182455 28867835 31418946 34641402 36252630 47128419 51962103 52364910 57735670 75056371 78547365 86603505 94256838 103924206 150112742 155886309 157094730 173207010 225169113 235642095 259810515 311772618 375281855 450338226 471284190 519621030 675507339 750563710 779431545 1125845565 1351014678 1558863090 2026522017 2251691130 3377536695 4053044034 6755073390 10132610085 20265220170