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222221002000221 = 32737223427501817
BaseRepresentation
bin110010100001101111011011…
…111000101100011101011101
31002010211010020201012020211200
4302201233123320230131131
5213111332103003001341
62104342530300310113
764543636406010030
oct6241573370543535
91063733221166750
10222221002000221
1164896441380a44
1220b0bb03b42339
1396cc47328b4c3
143cc37a7c07017
151aa572906bdb6
hexca1bdbe2c75d

222221002000221 has 48 divisors (see below), whose sum is σ = 378445129380864. Its totient is φ = 122997402484992.

The previous prime is 222221002000219. The next prime is 222221002000223. The reversal of 222221002000221 is 122000200122222.

222221002000221 is a `hidden beast` number, since 2 + 22 + 221 + 0 + 0 + 200 + 0 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (222221002000219) and next prime (222221002000223).

It is not a de Polignac number, because 222221002000221 - 21 = 222221002000219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 222221002000194 and 222221002000203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222221002000223) 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, 213231096 + ... + 214270721.

It is an arithmetic number, because the mean of its divisors is an integer number (7884273528768).

Almost surely, 2222221002000221 is an apocalyptic number.

222221002000221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

222221002000221 is a deficient number, since it is larger than the sum of its proper divisors (156224127380643).

222221002000221 is a wasteful number, since it uses less digits than its factorization.

222221002000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427502090 (or 427502087 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 222221002000221 its reverse (122000200122222), we get a palindrome (344221202122443).

The spelling of 222221002000221 in words is "two hundred twenty-two trillion, two hundred twenty-one billion, two million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 7 9 21 37 63 111 223 259 333 669 777 1561 2007 2331 4683 8251 14049 24753 57757 74259 173271 519813 427501817 1282505451 2992512719 3847516353 8977538157 15817567229 26932614471 47452701687 95332905191 110722970603 142358105061 285998715573 332168911809 667330336337 857996146719 996506735427 2001991009011 3527317492067 6005973027033 10581952476201 24691222444469 31745857428603 74073667333407 222221002000221