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2201102220 = 2235415711567
BaseRepresentation
bin1000001100110010…
…0010011110001100
312200101202120121110
42003030202132030
514001440232340
61002225132020
7105355026432
oct20314423614
95611676543
102201102220
11a2a512749
1251518a010
13291029265
1416c486d52
15cd388680
hex8332278c

2201102220 has 96 divisors (see below), whose sum is σ = 6328498176. Its totient is φ = 571276800.

The previous prime is 2201102219. The next prime is 2201102249. The reversal of 2201102220 is 222011022.

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 = 2201102196 and 2201102205.

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 31 ways as a sum of consecutive naturals, for example, 1403877 + ... + 1405443.

It is an arithmetic number, because the mean of its divisors is an integer number (65921856).

Almost surely, 22201102220 is an apocalyptic number.

2201102220 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 2201102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164249088).

2201102220 is an abundant number, since it is smaller than the sum of its proper divisors (4127395956).

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

2201102220 is a wasteful number, since it uses less digits than its factorization.

2201102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2189 counting only the distinct ones).

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

The square root of 2201102220 is about 46915.9058316047. The cubic root of 2201102220 is about 1300.8086133008.

Adding to 2201102220 its reverse (222011022), we get a palindrome (2423113242).

The spelling of 2201102220 in words is "two billion, two hundred one million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 571 615 820 1142 1230 1567 1713 2284 2460 2855 3134 3426 4701 5710 6268 6852 7835 8565 9402 11420 15670 17130 18804 23411 23505 31340 34260 46822 47010 64247 70233 93644 94020 117055 128494 140466 192741 234110 256988 280932 321235 351165 385482 468220 642470 702330 770964 894757 963705 1284940 1404660 1789514 1927410 2684271 3579028 3854820 4473785 5368542 8947570 10737084 13421355 17895140 26842710 36685037 53685420 73370074 110055111 146740148 183425185 220110222 366850370 440220444 550275555 733700740 1100551110 2201102220