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2202203120 = 24513173431
BaseRepresentation
bin1000001101000010…
…1111001111110000
312200110211111202112
42003100233033300
514002230444440
61002304504452
7105400263155
oct20320571760
95613744675
102202203120
11a300a4887
1251561b128
13291323390
1416c69222c
15cd504965
hex8342f3f0

2202203120 has 160 divisors (see below), whose sum is σ = 5872124160. Its totient is φ = 763514880.

The previous prime is 2202203089. The next prime is 2202203153. The reversal of 2202203120 is 213022022.

It is a junction number, because it is equal to n+sod(n) for n = 2202203095 and 2202203104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5109305 + ... + 5109735.

It is an arithmetic number, because the mean of its divisors is an integer number (36700776).

Almost surely, 22202203120 is an apocalyptic number.

2202203120 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 2202203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2936062080).

2202203120 is an abundant number, since it is smaller than the sum of its proper divisors (3669921040).

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

2202203120 is a wasteful number, since it uses less digits than its factorization.

2202203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2202203120 is about 46927.6370596262. The cubic root of 2202203120 is about 1301.0254473190.

Adding to 2202203120 its reverse (213022022), we get a palindrome (2415225142).

The spelling of 2202203120 in words is "two billion, two hundred two million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 170 208 221 260 272 289 340 431 442 520 578 680 862 884 1040 1105 1156 1360 1445 1724 1768 2155 2210 2312 2890 3448 3536 3757 4310 4420 4624 4913 5603 5780 6896 7327 7514 8620 8840 9826 11206 11560 14654 15028 17240 17680 18785 19652 22412 23120 24565 28015 29308 30056 34480 36635 37570 39304 44824 49130 56030 58616 60112 63869 73270 75140 78608 89648 95251 98260 112060 117232 124559 127738 146540 150280 190502 196520 224120 249118 255476 293080 300560 319345 381004 393040 448240 476255 498236 510952 586160 622795 638690 762008 952510 996472 1021904 1245590 1277380 1524016 1619267 1905020 1992944 2117503 2491180 2554760 3238534 3810040 4235006 4982360 5109520 6477068 7620080 8096335 8470012 9964720 10587515 12954136 16192670 16940024 21175030 25908272 27527539 32385340 33880048 42350060 55055078 64770680 84700120 110110156 129541360 137637695 169400240 220220312 275275390 440440624 550550780 1101101560 2202203120