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2321220200220 = 22325791011616201
BaseRepresentation
bin100001110001110011100…
…000010110011100011100
322012220110211022201222200
4201301303200112130130
5301012324332401340
64534204232411500
7326463000104355
oct41616340263434
98186424281880
102321220200220
1181547331a639
12315a4bb46b90
1313ab757b566c
14804c1d84d2c
15405a85d3330
hex21c7381671c

2321220200220 has 144 divisors (see below), whose sum is σ = 7200761742720. Its totient is φ = 605105280000.

The previous prime is 2321220200213. The next prime is 2321220200231. The reversal of 2321220200220 is 220020221232.

2321220200220 is a `hidden beast` number, since 2 + 3 + 21 + 220 + 200 + 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 = 2321220200193 and 2321220200202.

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 47 ways as a sum of consecutive naturals, for example, 628120 + ... + 2244320.

It is an arithmetic number, because the mean of its divisors is an integer number (50005289880).

Almost surely, 22321220200220 is an apocalyptic number.

2321220200220 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 2321220200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600380871360).

2321220200220 is an abundant number, since it is smaller than the sum of its proper divisors (4879541542500).

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

2321220200220 is a wasteful number, since it uses less digits than its factorization.

2321220200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616396 (or 1616391 counting only the distinct ones).

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

Adding to 2321220200220 its reverse (220020221232), we get a palindrome (2541240421452).

The spelling of 2321220200220 in words is "two trillion, three hundred twenty-one billion, two hundred twenty million, two hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 101 158 180 202 237 303 316 395 404 474 505 606 711 790 909 948 1010 1185 1212 1422 1515 1580 1818 2020 2370 2844 3030 3555 3636 4545 4740 6060 7110 7979 9090 14220 15958 18180 23937 31916 39895 47874 71811 79790 95748 119685 143622 159580 239370 287244 359055 478740 718110 1436220 1616201 3232402 4848603 6464804 8081005 9697206 14545809 16162010 19394412 24243015 29091618 32324020 48486030 58183236 72729045 96972060 127679879 145458090 163236301 255359758 290916180 326472602 383039637 489708903 510719516 638399395 652945204 766079274 816181505 979417806 1149118911 1276798790 1469126709 1532158548 1632363010 1915198185 1958835612 2298237822 2448544515 2553597580 2938253418 3264726020 3830396370 4596475644 4897089030 5745594555 5876506836 7345633545 7660792740 9794178060 11491189110 12895667779 14691267090 22982378220 25791335558 29382534180 38687003337 51582671116 64478338895 77374006674 116061010011 128956677790 154748013348 193435016685 232122020022 257913355580 386870033370 464244040044 580305050055 773740066740 1160610100110 2321220200220