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20222012021220 = 22325881127519309
BaseRepresentation
bin1001001100100010011011…
…10101111101100111100100
32122121012112210020201122100
410212101031311331213210
510122304140034134340
6111001510350132100
74154664211042602
oct446211565754744
978535483221570
1020222012021220
11649711a665609
1223271b2ab1030
13b38c09aa3729
144dca7192c872
1525104aa10830
hex12644dd7d9e4

20222012021220 has 72 divisors (see below), whose sum is σ = 61409729155320. Its totient is φ = 5386415569920.

The previous prime is 20222012021213. The next prime is 20222012021227. The reversal of 20222012021220 is 2212021022202.

20222012021220 is a `hidden beast` number, since 20 + 2 + 220 + 1 + 202 + 1 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (20222012021213) and next prime (20222012021227).

It can be written as a sum of positive squares in 4 ways, for example, as 213155809344 + 20008856211876 = 461688^2 + 4473126^2 .

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 = 20222012021193 and 20222012021202.

It is not an unprimeable number, because it can be changed into a prime (20222012021227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63601075 + ... + 63918234.

It is an arithmetic number, because the mean of its divisors is an integer number (852912904935).

Almost surely, 220222012021220 is an apocalyptic number.

20222012021220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20222012021220 is an abundant number, since it is smaller than the sum of its proper divisors (41187717134100).

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

20222012021220 is a wasteful number, since it uses less digits than its factorization.

20222012021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127520205 (or 127520200 counting only the distinct ones).

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

Adding to 20222012021220 its reverse (2212021022202), we get a palindrome (22434033043422).

The spelling of 20222012021220 in words is "twenty trillion, two hundred twenty-two billion, twelve million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 881 1762 2643 3524 4405 5286 7929 8810 10572 13215 15858 17620 26430 31716 39645 52860 79290 158580 127519309 255038618 382557927 510077236 637596545 765115854 1147673781 1275193090 1530231708 1912789635 2295347562 2550386180 3825579270 4590695124 5738368905 7651158540 11476737810 22953475620 112344511229 224689022458 337033533687 449378044916 561722556145 674067067374 1011100601061 1123445112290 1348134134748 1685167668435 2022201202122 2246890224580 3370335336870 4044402404244 5055503005305 6740670673740 10111006010610 20222012021220