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22201662120 = 23351136074663
BaseRepresentation
bin10100101011010100…
…100111101010101000
32010022021100021220020
4110223110213222220
5330432111141440
614111014400440
71414115004621
oct245324475250
963267307806
1022201662120
1194632943a0
124377360120
13212a86b9a1
141108876a48
1589e1b53d0
hex52b527aa8

22201662120 has 128 divisors (see below), whose sum is σ = 72695715840. Its totient is φ = 5379575040.

The previous prime is 22201662107. The next prime is 22201662139. The reversal of 22201662120 is 2126610222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 4758909 + ... + 4763571.

It is an arithmetic number, because the mean of its divisors is an integer number (567935280).

Almost surely, 222201662120 is an apocalyptic number.

22201662120 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 22201662120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36347857920).

22201662120 is an abundant number, since it is smaller than the sum of its proper divisors (50494053720).

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

22201662120 is a wasteful number, since it uses less digits than its factorization.

22201662120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8295 (or 8291 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 22201662120 in words is "twenty-two billion, two hundred one million, six hundred sixty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 3607 4663 7214 9326 10821 13989 14428 18035 18652 21642 23315 27978 28856 36070 37304 39677 43284 46630 51293 54105 55956 69945 72140 79354 86568 93260 102586 108210 111912 119031 139890 144280 153879 158708 186520 198385 205172 216420 238062 256465 279780 307758 317416 396770 410344 432840 476124 512930 559560 595155 615516 769395 793540 952248 1025860 1190310 1231032 1538790 1587080 2051720 2380620 3077580 4761240 6155160 16819441 33638882 50458323 67277764 84097205 100916646 134555528 168194410 185013851 201833292 252291615 336388820 370027702 403666584 504583230 555041553 672777640 740055404 925069255 1009166460 1110083106 1480110808 1850138510 2018332920 2220166212 2775207765 3700277020 4440332424 5550415530 7400554040 11100831060 22201662120