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222002331320 = 235711103699793
BaseRepresentation
bin1100111011000001011…
…1101011111010111000
3210020000201112220221102
43032300113223322320
512114130044100240
6245553024230532
722016265452360
oct3166027537270
9706021486842
10222002331320
118617258a3a0
123703816b448
1317c1c7a9333
14aa602ab9a0
155b94db3815
hex33b05ebeb8

222002331320 has 128 divisors (see below), whose sum is σ = 628806896640. Its totient is φ = 68523632640.

The previous prime is 222002331307. The next prime is 222002331367. The reversal of 222002331320 is 23133200222.

It is a super-2 number, since 2×2220023313202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 222002331292 and 222002331301.

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, 32657 + ... + 667136.

It is an arithmetic number, because the mean of its divisors is an integer number (4912553880).

Almost surely, 2222002331320 is an apocalyptic number.

222002331320 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 222002331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314403448320).

222002331320 is an abundant number, since it is smaller than the sum of its proper divisors (406804565320).

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

222002331320 is a wasteful number, since it uses less digits than its factorization.

222002331320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699925 (or 699921 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 222002331320 its reverse (23133200222), we get a palindrome (245135531542).

The spelling of 222002331320 in words is "two hundred twenty-two billion, two million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 103 110 140 154 206 220 280 308 385 412 440 515 616 721 770 824 1030 1133 1442 1540 2060 2266 2884 3080 3605 4120 4532 5665 5768 7210 7931 9064 11330 14420 15862 22660 28840 31724 39655 45320 63448 79310 158620 317240 699793 1399586 2799172 3498965 4898551 5598344 6997930 7697723 9797102 13995860 15395446 19594204 24492755 27991720 30790892 38488615 39188408 48985510 53884061 61581784 72078679 76977230 97971020 107768122 144157358 153954460 195942040 215536244 269420305 288314716 307908920 360393395 431072488 504550753 538840610 576629432 720786790 792865469 1009101506 1077681220 1441573580 1585730938 2018203012 2155362440 2522753765 2883147160 3171461876 3964327345 4036406024 5045507530 5550058283 6342923752 7928654690 10091015060 11100116566 15857309380 20182030120 22200233132 27750291415 31714618760 44400466264 55500582830 111001165660 222002331320