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2202120220 = 2252916323293
BaseRepresentation
bin1000001101000001…
…1011000000011100
312200110200022001011
42003100123000130
514002220321340
61002303025004
7105366466366
oct20320330034
95613608034
102202120220
11a30048573
1251559b164
132912c4721
1416c66dd36
15cd4da0ea
hex8341b01c

2202120220 has 48 divisors (see below), whose sum is σ = 4813472160. Its totient is φ = 845220096.

The previous prime is 2202120203. The next prime is 2202120223. The reversal of 2202120220 is 220212022.

It is a self number, because there is not a number n which added to its sum of digits gives 2202120220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202120223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82894 + ... + 106186.

It is an arithmetic number, because the mean of its divisors is an integer number (100280670).

Almost surely, 22202120220 is an apocalyptic number.

2202120220 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 2202120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406736080).

2202120220 is an abundant number, since it is smaller than the sum of its proper divisors (2611351940).

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

2202120220 is a wasteful number, since it uses less digits than its factorization.

2202120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23494 (or 23492 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2202120220 is about 46926.7537764973. The cubic root of 2202120220 is about 1301.0091217945.

Adding to 2202120220 its reverse (220212022), we get a palindrome (2422332242).

The spelling of 2202120220 in words is "two billion, two hundred two million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 163 290 326 580 652 815 1630 3260 4727 9454 18908 23293 23635 46586 47270 93172 94540 116465 232930 465860 675497 1350994 2701988 3377485 3796759 6754970 7593518 13509940 15187036 18983795 37967590 75935180 110106011 220212022 440424044 550530055 1101060110 2202120220