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22242220140 = 22357213157751
BaseRepresentation
bin10100101101101111…
…010101100001101100
32010102002122212001010
4110231233111201230
5331023002021030
614115023545220
71415116515600
oct245557254154
963362585033
1022242220140
119484176218
124388a5b210
13213609c50a
14110ddd3500
158a2a276b0
hex52dbd586c

22242220140 has 144 divisors (see below), whose sum is σ = 73000376064. Its totient is φ = 5045040000.

The previous prime is 22242220087. The next prime is 22242220157. The reversal of 22242220140 is 4102224222.

It is a super-3 number, since 3×222422201403 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 47 ways as a sum of consecutive naturals, for example, 356265 + ... + 414015.

It is an arithmetic number, because the mean of its divisors is an integer number (506947056).

Almost surely, 222242220140 is an apocalyptic number.

22242220140 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 22242220140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36500188032).

22242220140 is an abundant number, since it is smaller than the sum of its proper divisors (50758155924).

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

22242220140 is a wasteful number, since it uses less digits than its factorization.

22242220140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57908 (or 57899 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 22242220140 its reverse (4102224222), we get a palindrome (26344444362).

The spelling of 22242220140 in words is "twenty-two billion, two hundred forty-two million, two hundred twenty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 131 140 147 196 210 245 262 294 393 420 490 524 588 655 735 786 917 980 1310 1470 1572 1834 1965 2620 2751 2940 3668 3930 4585 5502 6419 7860 9170 11004 12838 13755 18340 19257 25676 27510 32095 38514 55020 57751 64190 77028 96285 115502 128380 173253 192570 231004 288755 346506 385140 404257 577510 693012 808514 866265 1155020 1212771 1617028 1732530 2021285 2425542 2829799 3465060 4042570 4851084 5659598 6063855 7565381 8085140 8489397 11319196 12127710 14148995 15130762 16978794 22696143 24255420 28297990 30261524 33957588 37826905 42446985 45392286 52957667 56595980 75653810 84893970 90784572 105915334 113480715 151307620 158873001 169787940 211830668 226961430 264788335 317746002 370703669 453922860 529576670 635492004 741407338 794365005 1059153340 1112111007 1482814676 1588730010 1853518345 2224222014 3177460020 3707036690 4448444028 5560555035 7414073380 11121110070 22242220140