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22202101020 = 223511231462589
BaseRepresentation
bin10100101011010110…
…010010110100011100
32010022022011120221210
4110223112102310130
5330432214213040
614111032024420
71414121513331
oct245326226434
963268146853
1022202101020
119463564120
124377532110
13212a9936a8
14110894c988
1589e250480
hex52b592d1c

22202101020 has 96 divisors (see below), whose sum is σ = 70765954560. Its totient is φ = 5148309760.

The previous prime is 22202101013. The next prime is 22202101021. The reversal of 22202101020 is 2010120222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22202100987 and 22202101005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22202101021) 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 31 ways as a sum of consecutive naturals, for example, 716115 + ... + 746474.

It is an arithmetic number, because the mean of its divisors is an integer number (737145360).

Almost surely, 222202101020 is an apocalyptic number.

22202101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22202101020 is an abundant number, since it is smaller than the sum of its proper divisors (48563853540).

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

22202101020 is a wasteful number, since it uses less digits than its factorization.

22202101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462635 (or 1462633 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22202101020 its reverse (2010120222), we get a palindrome (24212221242).

The spelling of 22202101020 in words is "twenty-two billion, two hundred two million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2530 3036 3795 5060 7590 15180 1462589 2925178 4387767 5850356 7312945 8775534 14625890 16088479 17551068 21938835 29251780 32176958 33639547 43877670 48265437 64353916 67279094 80442395 87755340 96530874 100918641 134558188 160884790 168197735 193061748 201837282 241327185 321769580 336395470 370035017 403674564 482654370 504593205 672790940 740070034 965308740 1009186410 1110105051 1480140068 1850175085 2018372820 2220210102 3700350170 4440420204 5550525255 7400700340 11101050510 22202101020