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22142104222120 = 2353179226032097
BaseRepresentation
bin1010000100011010111000…
…10000011011100110101000
32220101202122022110210110121
411002031130100123212220
510400234012140101440
6115031535305453024
74443466661336431
oct502153420334650
986352568423417
1022142104222120
117067460654203
122597355aa1174
13c47cb734592c
1456797d9a4488
15285e7868334a
hex14235c41b9a8

22142104222120 has 64 divisors (see below), whose sum is σ = 52077795379200. Its totient is φ = 8462641674240.

The previous prime is 22142104222103. The next prime is 22142104222171. The reversal of 22142104222120 is 2122240124122.

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 15 ways as a sum of consecutive naturals, for example, 112918089 + ... + 113114008.

It is an arithmetic number, because the mean of its divisors is an integer number (813715552800).

Almost surely, 222142104222120 is an apocalyptic number.

22142104222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22142104222120 is an abundant number, since it is smaller than the sum of its proper divisors (29935691157080).

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

22142104222120 is a wasteful number, since it uses less digits than its factorization.

22142104222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226032218 (or 226032214 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 22142104222120 its reverse (2122240124122), we get a palindrome (24264344346242).

The spelling of 22142104222120 in words is "twenty-two trillion, one hundred forty-two billion, one hundred four million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 79 124 155 158 248 310 316 395 620 632 790 1240 1580 2449 3160 4898 9796 12245 19592 24490 48980 97960 226032097 452064194 904128388 1130160485 1808256776 2260320970 4520641940 7006995007 9041283880 14013990014 17856535663 28027980028 35034975035 35713071326 56055960056 70069950070 71426142652 89282678315 140139900140 142852285304 178565356630 280279800280 357130713260 553552605553 714261426520 1107105211106 2214210422212 2767763027765 4428420844424 5535526055530 11071052111060 22142104222120