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20222179120 = 245111312371429
BaseRepresentation
bin10010110101010101…
…011111011100110000
31221012022121010201001
4102311111133130300
5312403334212440
613142343251344
71314060454303
oct226525373460
957168533631
1020222179120
118637990530
123b04449b54
131ba3729180
14d9b9dcb3a
157d5506b9a
hex4b555f730

20222179120 has 160 divisors (see below), whose sum is σ = 55319584320. Its totient is φ = 6777630720.

The previous prime is 20222179093. The next prime is 20222179151. The reversal of 20222179120 is 2197122202.

It is a super-2 number, since 2×202221791202 (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 14150566 + ... + 14151994.

It is an arithmetic number, because the mean of its divisors is an integer number (345747402).

Almost surely, 220222179120 is an apocalyptic number.

20222179120 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 20222179120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27659792160).

20222179120 is an abundant number, since it is smaller than the sum of its proper divisors (35097405200).

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

20222179120 is a wasteful number, since it uses less digits than its factorization.

20222179120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The spelling of 20222179120 in words is "twenty billion, two hundred twenty-two million, one hundred seventy-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1237 1429 1430 2288 2474 2858 2860 4948 5716 5720 6185 7145 9896 11432 11440 12370 13607 14290 15719 16081 18577 19792 22864 24740 27214 28580 31438 32162 37154 49480 54428 57160 62876 64324 68035 74308 78595 80405 92885 98960 108856 114320 125752 128648 136070 148616 157190 160810 176891 185770 204347 217712 251504 257296 272140 297232 314380 321620 353782 371540 408694 544280 628760 643240 707564 743080 817388 884455 1021735 1088560 1257520 1286480 1415128 1486160 1634776 1767673 1768910 2043470 2830256 3269552 3535346 3537820 4086940 7070692 7075640 8173880 8838365 14141384 14151280 16347760 17676730 19444403 22979749 28282768 35353460 38888806 45959498 70706920 77777612 91918996 97222015 114898745 141413840 155555224 183837992 194444030 229797490 252777239 311110448 367675984 388888060 459594980 505554478 777776120 919189960 1011108956 1263886195 1555552240 1838379920 2022217912 2527772390 4044435824 5055544780 10111089560 20222179120