Search a number
-
+
1222200320220 = 2232511738455793
BaseRepresentation
bin10001110010010000110…
…100001110000011011100
311022211201020112020010200
4101302100310032003130
5130011031240221340
62333245430303500
7154205156211465
oct21622064160334
94284636466120
101222200320220
11431372244280
12178a544b7b90
138b339aa6969
1443224b31d6c
1521bd3bd8330
hex11c90d0e0dc

1222200320220 has 144 divisors (see below), whose sum is σ = 4099774809312. Its totient is φ = 292232171520.

The previous prime is 1222200320189. The next prime is 1222200320227. The reversal of 1222200320220 is 220230022221.

1222200320220 is a `hidden beast` number, since 1 + 222 + 200 + 3 + 20 + 220 = 666.

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 = 1222200320193 and 1222200320202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222200320227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4083357 + ... + 4372436.

It is an arithmetic number, because the mean of its divisors is an integer number (28470658398).

Almost surely, 21222200320220 is an apocalyptic number.

1222200320220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1222200320220 is an abundant number, since it is smaller than the sum of its proper divisors (2877574489092).

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

1222200320220 is a wasteful number, since it uses less digits than its factorization.

1222200320220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8455892 (or 8455887 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 1222200320220 its reverse (220230022221), we get a palindrome (1442430342441).

The spelling of 1222200320220 in words is "one trillion, two hundred twenty-two billion, two hundred million, three hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 73 90 99 110 132 146 165 180 198 219 220 292 330 365 396 438 495 657 660 730 803 876 990 1095 1314 1460 1606 1980 2190 2409 2628 3212 3285 4015 4380 4818 6570 7227 8030 9636 12045 13140 14454 16060 24090 28908 36135 48180 72270 144540 8455793 16911586 25367379 33823172 42278965 50734758 76102137 84557930 93013723 101469516 126836895 152204274 169115860 186027446 253673790 279041169 304408548 372054892 380510685 465068615 507347580 558082338 617272889 761021370 837123507 930137230 1116164676 1234545778 1395205845 1522042740 1674247014 1851818667 1860274460 2469091556 2790411690 3086364445 3348494028 3703637334 4185617535 5555456001 5580823380 6172728890 6790001779 7407274668 8371235070 9259093335 11110912002 12345457780 13580003558 16742470140 18518186670 20370005337 22221824004 27160007116 27777280005 33950008895 37036373340 40740010674 55554560010 61110016011 67900017790 81480021348 101850026685 111109120020 122220032022 135800035580 203700053370 244440064044 305550080055 407400106740 611100160110 1222200320220