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22001031200 = 2552671392953
BaseRepresentation
bin10100011111010111…
…010001100000100000
32002210021211012000102
4110133113101200200
5330024230444300
614035050241532
71406130452051
oct243727214040
962707735012
1022001031200
119370010415
1243201262a8
1320c8123475
1410c9d6c728
1588b7840d5
hex51f5d1820

22001031200 has 144 divisors (see below), whose sum is σ = 54922422240. Its totient is φ = 8603781120.

The previous prime is 22001031167. The next prime is 22001031203. The reversal of 22001031200 is 213010022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22001031203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7448924 + ... + 7451876.

It is an arithmetic number, because the mean of its divisors is an integer number (381405710).

Almost surely, 222001031200 is an apocalyptic number.

22001031200 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 22001031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27461211120).

22001031200 is an abundant number, since it is smaller than the sum of its proper divisors (32921391040).

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

22001031200 is a wasteful number, since it uses less digits than its factorization.

22001031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3179 (or 3166 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 22001031200 its reverse (213010022), we get a palindrome (22214041222).

The spelling of 22001031200 in words is "twenty-two billion, one million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 67 80 100 134 139 160 200 268 278 335 400 536 556 670 695 800 1072 1112 1340 1390 1675 2144 2224 2680 2780 2953 3350 3475 4448 5360 5560 5906 6700 6950 9313 10720 11120 11812 13400 13900 14765 18626 22240 23624 26800 27800 29530 37252 46565 47248 53600 55600 59060 73825 74504 93130 94496 111200 118120 147650 149008 186260 197851 232825 236240 295300 298016 372520 395702 410467 465650 472480 590600 745040 791404 820934 931300 989255 1181200 1490080 1582808 1641868 1862600 1978510 2052335 2362400 3165616 3283736 3725200 3957020 4104670 4946275 6331232 6567472 7450400 7914040 8209340 9892550 10261675 13134944 15828080 16418680 19785100 20523350 27501289 31656160 32837360 39570200 41046700 55002578 65674720 79140400 82093400 110005156 137506445 158280800 164186800 220010312 275012890 328373600 440020624 550025780 687532225 880041248 1100051560 1375064450 2200103120 2750128900 4400206240 5500257800 11000515600 22001031200