Search a number
-
+
2112223320 = 2332538915083
BaseRepresentation
bin111110111100101…
…1111100001011000
312110012112001200100
41331321133201120
513311212121240
6545332135400
7103225413324
oct17571374130
95405461610
102112223320
11994327709
124ab467560
132787aa6ac
1416074c984
15c567de30
hex7de5f858

2112223320 has 96 divisors (see below), whose sum is σ = 6882829200. Its totient is φ = 561774336.

The previous prime is 2112223319. The next prime is 2112223349. The reversal of 2112223320 is 233222112.

It is a super-2 number, since 2×21122233202 = 8922974707103644800, which contains 22 as substring.

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 = 2112223293 and 2112223302.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 132499 + ... + 147581.

Almost surely, 22112223320 is an apocalyptic number.

2112223320 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 2112223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3441414600).

2112223320 is an abundant number, since it is smaller than the sum of its proper divisors (4770605880).

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

2112223320 is a wasteful number, since it uses less digits than its factorization.

2112223320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15489 (or 15482 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2112223320 is about 45958.9307969626. The cubic root of 2112223320 is about 1283.0589517787.

Adding to 2112223320 its reverse (233222112), we get a palindrome (2345445432).

The spelling of 2112223320 in words is "two billion, one hundred twelve million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 389 778 1167 1556 1945 2334 3112 3501 3890 4668 5835 7002 7780 9336 11670 14004 15083 15560 17505 23340 28008 30166 35010 45249 46680 60332 70020 75415 90498 120664 135747 140040 150830 180996 226245 271494 301660 361992 452490 542988 603320 678735 904980 1085976 1357470 1809960 2714940 5429880 5867287 11734574 17601861 23469148 29336435 35203722 46938296 52805583 58672870 70407444 88009305 105611166 117345740 140814888 176018610 211222332 234691480 264027915 352037220 422444664 528055830 704074440 1056111660 2112223320