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2202122221 = 13229449321
BaseRepresentation
bin1000001101000001…
…1011011111101101
312200110200101210021
42003100123133231
514002220402341
61002303042141
7105366505255
oct20320333755
95613611707
102202122221
11a3004a022
125155a0351
132912c5600
1416c670965
15cd4da9d1
hex8341b7ed

2202122221 has 12 divisors (see below), whose sum is σ = 2466777780. Its totient is φ = 1962629760.

The previous prime is 2202122213. The next prime is 2202122309. The reversal of 2202122221 is 1222212022.

It can be written as a sum of positive squares in 6 ways, for example, as 475719721 + 1726402500 = 21811^2 + 41550^2 .

It is not a de Polignac number, because 2202122221 - 23 = 2202122213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2202122195 and 2202122204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202122521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219760 + ... + 229561.

It is an arithmetic number, because the mean of its divisors is an integer number (205564815).

Almost surely, 22202122221 is an apocalyptic number.

It is an amenable number.

2202122221 is a deficient number, since it is larger than the sum of its proper divisors (264655559).

2202122221 is a wasteful number, since it uses less digits than its factorization.

2202122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449376 (or 449363 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2202122221 is about 46926.7750969529. The cubic root of 2202122221 is about 1301.0095158569.

Adding to 2202122221 its reverse (1222212022), we get a palindrome (3424334243).

The spelling of 2202122221 in words is "two billion, two hundred two million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 13 29 169 377 4901 449321 5841173 13030309 75935249 169394017 2202122221