Search a number
-
+
3122220220 = 2257219732297
BaseRepresentation
bin1011101000011001…
…0100110010111100
322001121000012221221
42322012110302330
522343242021340
61233452003124
7140241301600
oct27206246274
98047005857
103122220220
111362459299
127317604a4
133a9b07bb2
1421893d500
1513418744a
hexba194cbc

3122220220 has 144 divisors (see below), whose sum is σ = 8142089760. Its totient is φ = 999806976.

The previous prime is 3122220203. The next prime is 3122220229. The reversal of 3122220220 is 220222213.

3122220220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3122220194 and 3122220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3122220229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1358112 + ... + 1360408.

It is an arithmetic number, because the mean of its divisors is an integer number (56542290).

Almost surely, 23122220220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3122220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071044880).

3122220220 is an abundant number, since it is smaller than the sum of its proper divisors (5019869540).

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

3122220220 is a wasteful number, since it uses less digits than its factorization.

3122220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 3122220220 is about 55876.8307977466. The cubic root of 3122220220 is about 1461.5752404510.

Adding to 3122220220 its reverse (220222213), we get a palindrome (3342442433).

The spelling of 3122220220 in words is "three billion, one hundred twenty-two million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 73 76 95 98 133 140 146 190 196 245 266 292 365 380 490 511 532 665 730 931 980 1022 1330 1387 1460 1862 2044 2297 2555 2660 2774 3577 3724 4594 4655 5110 5548 6935 7154 9188 9310 9709 10220 11485 13870 14308 16079 17885 18620 19418 22970 27740 32158 35770 38836 43643 45940 48545 64316 67963 71540 80395 87286 97090 112553 135926 160790 167681 174572 194180 218215 225106 271852 305501 321580 335362 339815 436430 450212 562765 611002 670724 679630 838405 872860 1125530 1173767 1222004 1359260 1527505 1676810 2138507 2251060 2347534 3055010 3185939 3353620 4277014 4695068 5868835 6110020 6371878 8216369 8554028 10692535 11737670 12743756 15929695 16432738 21385070 22301573 23475340 31859390 32865476 41081845 42770140 44603146 63718780 82163690 89206292 111507865 156111011 164327380 223015730 312222022 446031460 624444044 780555055 1561110110 3122220220