Search a number
-
+
2131222320 = 243352342899
BaseRepresentation
bin111111100000111…
…1101111100110000
312111112021022102000
41333001331330300
513331043103240
6551251254000
7103546043103
oct17701757460
95445238360
102131222320
119a4023967
124b58aa300
1327c7002c6
1416309673a
15c7183430
hex7f07df30

2131222320 has 160 divisors (see below), whose sum is σ = 7660224000. Its totient is φ = 543603456.

The previous prime is 2131222283. The next prime is 2131222349. The reversal of 2131222320 is 232221312.

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 = 2131222293 and 2131222302.

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, 28231 + ... + 71129.

It is an arithmetic number, because the mean of its divisors is an integer number (47876400).

Almost surely, 22131222320 is an apocalyptic number.

2131222320 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 2131222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830112000).

2131222320 is an abundant number, since it is smaller than the sum of its proper divisors (5529001680).

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

2131222320 is a wasteful number, since it uses less digits than its factorization.

2131222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42944 (or 42932 counting only the distinct ones).

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

The square root of 2131222320 is about 46165.1634893672. The cubic root of 2131222320 is about 1286.8944224715.

Adding to 2131222320 its reverse (232221312), we get a palindrome (2363443632).

The spelling of 2131222320 in words is "two billion, one hundred thirty-one million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 69 72 80 90 92 108 115 120 135 138 144 180 184 207 216 230 240 270 276 345 360 368 414 432 460 540 552 621 690 720 828 920 1035 1080 1104 1242 1380 1656 1840 2070 2160 2484 2760 3105 3312 4140 4968 5520 6210 8280 9936 12420 16560 24840 42899 49680 85798 128697 171596 214495 257394 343192 386091 428990 514788 643485 686384 772182 857980 986677 1029576 1158273 1286970 1544364 1715960 1930455 1973354 2059152 2316546 2573940 2960031 3088728 3431920 3860910 3946708 4633092 4933385 5147880 5791365 5920062 6177456 7721820 7893416 8880093 9266184 9866770 10295760 11582730 11840124 14800155 15443640 15786832 17760186 18532368 19733540 23165460 23680248 26640279 29600310 30887280 35520372 39467080 44400465 46330920 47360496 53280558 59200620 71040744 78934160 88800930 92661840 106561116 118401240 133201395 142081488 177601860 213122232 236802480 266402790 355203720 426244464 532805580 710407440 1065611160 2131222320