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2205022221 = 322971257463
BaseRepresentation
bin1000001101101101…
…1111100000001101
312200200010201211200
42003123133200031
514003441202341
61002445140113
7105433244133
oct20333374015
95620121750
102205022221
11a3174a916
1251655a639
13291a9c59c
1416cbc7753
15cd8aedb6
hex836df80d

2205022221 has 48 divisors (see below), whose sum is σ = 3361512960. Its totient is φ = 1390878720.

The previous prime is 2205022207. The next prime is 2205022231. The reversal of 2205022221 is 1222205022.

2205022221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2205022221 - 217 = 2204891149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2205022194 and 2205022203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205022201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4762236 + ... + 4762698.

It is an arithmetic number, because the mean of its divisors is an integer number (70031520).

Almost surely, 22205022221 is an apocalyptic number.

It is an amenable number.

2205022221 is a deficient number, since it is larger than the sum of its proper divisors (1156490739).

2205022221 is a wasteful number, since it uses less digits than its factorization.

2205022221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2205022221 is about 46957.6641348353. The cubic root of 2205022221 is about 1301.5803701245.

Adding to 2205022221 its reverse (1222205022), we get a palindrome (3427227243).

The spelling of 2205022221 in words is "two billion, two hundred five million, twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 29 71 87 213 257 261 463 639 771 1389 2059 2313 4167 6177 7453 13427 18247 18531 22359 32873 40281 54741 67077 98619 118991 120843 164223 295857 356973 529163 953317 1070919 1587489 2859951 3450739 4762467 8448361 8579853 10352217 25345083 31056651 76035249 245002469 735007407 2205022221