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20224110010 = 2513317173313
BaseRepresentation
bin10010110101011100…
…110110110110111010
31221012110020020101111
4102311130312312322
5312404333010020
613142452510534
71314113045566
oct226534666672
957173206344
1020224110010
118638a8a205
123b0501b44a
131ba3c54000
14d9bd826a6
157d5788d5a
hex4b5736dba

20224110010 has 128 divisors (see below), whose sum is σ = 42130912320. Its totient is φ = 6965157888.

The previous prime is 20224109981. The next prime is 20224110031. The reversal of 20224110010 is 1001142202.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 14585151361 + 5638958649 = 120769^2 + 75093^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64613614 + ... + 64613926.

Almost surely, 220224110010 is an apocalyptic number.

20224110010 is an abundant number, since it is smaller than the sum of its proper divisors (21906802310).

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

20224110010 is a wasteful number, since it uses less digits than its factorization.

20224110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20224110010 its reverse (1001142202), we get a palindrome (21225252212).

The spelling of 20224110010 in words is "twenty billion, two hundred twenty-four million, one hundred ten thousand, ten".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 169 170 173 221 313 338 346 442 626 845 865 1105 1565 1690 1730 2197 2210 2249 2873 2941 3130 4069 4394 4498 5321 5746 5882 8138 10642 10985 11245 14365 14705 20345 21970 22490 26605 28730 29237 29410 37349 38233 40690 52897 53210 54149 58474 69173 74698 76466 105794 108298 138346 146185 186745 191165 264485 270745 292370 345865 373490 380081 382330 497029 528970 541490 687661 691730 703937 760162 899249 920533 994058 1375322 1407874 1798498 1841066 1900405 2485145 3438305 3519685 3800810 4496245 4602665 4970290 6461377 6876610 7039370 8992490 9151181 9205330 11690237 11966929 12922754 18302362 23380474 23933858 32306885 45755905 58451185 59834645 64613770 91511810 116902370 118965353 119669290 155570077 237930706 311140154 594826765 777850385 1189653530 1555700770 2022411001 4044822002 10112055005 20224110010