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2110221220 = 225177385021
BaseRepresentation
bin111110111000111…
…0110101110100100
312110001202100022111
41331301312232210
513310204034340
6545221210404
7103202404312
oct17561665644
95401670274
102110221220
1199318a488
124aa860a04
13278259313
1416038b0b2
15c53d5aea
hex7dc76ba4

2110221220 has 48 divisors (see below), whose sum is σ = 4756470768. Its totient is φ = 783544320.

The previous prime is 2110221209. The next prime is 2110221233. The reversal of 2110221220 is 221220112.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3594816 + 2106626404 = 1896^2 + 45898^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2110221220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17691 + ... + 67330.

It is an arithmetic number, because the mean of its divisors is an integer number (99093141).

Almost surely, 22110221220 is an apocalyptic number.

2110221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2110221220 is an abundant number, since it is smaller than the sum of its proper divisors (2646249548).

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

2110221220 is a wasteful number, since it uses less digits than its factorization.

2110221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85120 (or 85118 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2110221220 is about 45937.1442299149. The cubic root of 2110221220 is about 1282.6534352536.

Adding to 2110221220 its reverse (221220112), we get a palindrome (2331441332).

The spelling of 2110221220 in words is "two billion, one hundred ten million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 73 85 146 170 292 340 365 730 1241 1460 2482 4964 6205 12410 24820 85021 170042 340084 425105 850210 1445357 1700420 2890714 5781428 6206533 7226785 12413066 14453570 24826132 28907140 31032665 62065330 105511061 124130660 211022122 422044244 527555305 1055110610 2110221220