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2200121220 = 22351121791693
BaseRepresentation
bin1000001100100011…
…0010111110000100
312200022220201221010
42003020302332010
514001212334340
61002152122220
7105343502403
oct20310627604
95608821833
102200121220
11a29a02700
12514996370
13290a7489b
1416c2ad63a
15cd242b80
hex83232f84

2200121220 has 144 divisors (see below), whose sum is σ = 6813132480. Its totient is φ = 530069760.

The previous prime is 2200121201. The next prime is 2200121251. The reversal of 2200121220 is 221210022.

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 = 2200121196 and 2200121205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1298694 + ... + 1300386.

It is an arithmetic number, because the mean of its divisors is an integer number (47313420).

Almost surely, 22200121220 is an apocalyptic number.

2200121220 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 2200121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3406566240).

2200121220 is an abundant number, since it is smaller than the sum of its proper divisors (4613011260).

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

2200121220 is a wasteful number, since it uses less digits than its factorization.

2200121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1893 counting only the distinct ones).

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

The square root of 2200121220 is about 46905.4497899764. The cubic root of 2200121220 is about 1300.6153339422.

Adding to 2200121220 its reverse (221210022), we get a palindrome (2421331242).

The spelling of 2200121220 in words is "two billion, two hundred million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 179 220 242 330 358 363 484 537 605 660 716 726 895 1074 1210 1452 1693 1790 1815 1969 2148 2420 2685 3386 3580 3630 3938 5079 5370 5907 6772 7260 7876 8465 9845 10158 10740 11814 16930 18623 19690 20316 21659 23628 25395 29535 33860 37246 39380 43318 50790 55869 59070 64977 74492 86636 93115 101580 108295 111738 118140 129954 186230 204853 216590 223476 259908 279345 303047 324885 372460 409706 433180 558690 606094 614559 649770 819412 909141 1024265 1117380 1212188 1229118 1299540 1515235 1818282 2048530 2458236 3030470 3072795 3333517 3636564 4097060 4545705 6060940 6145590 6667034 9091410 10000551 12291180 13334068 16667585 18182820 20001102 33335170 36668687 40002204 50002755 66670340 73337374 100005510 110006061 146674748 183343435 200011020 220012122 366686870 440024244 550030305 733373740 1100060610 2200121220