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220000221 = 327192361131
BaseRepresentation
bin11010001110011…
…10111111011101
3120022222011120100
431013032333131
5422310001341
633455211313
75310654030
oct1507167735
9508864510
10220000221
11103203471
1261816b39
133676a85c
142130b017
15144aa3b6
hexd1cefdd

220000221 has 96 divisors (see below), whose sum is σ = 408545280. Its totient is φ = 111196800.

The previous prime is 220000201. The next prime is 220000237. The reversal of 220000221 is 122000022.

It is not a de Polignac number, because 220000221 - 25 = 220000189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220000201) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1679326 + ... + 1679456.

It is an arithmetic number, because the mean of its divisors is an integer number (4255680).

Almost surely, 2220000221 is an apocalyptic number.

220000221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

220000221 is a deficient number, since it is larger than the sum of its proper divisors (188545059).

220000221 is a wasteful number, since it uses less digits than its factorization.

220000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 220000221 is about 14832.4044240979. The cubic root of 220000221 is about 603.6812758214.

Adding to 220000221 its reverse (122000022), we get a palindrome (342000243).

The spelling of 220000221 in words is "two hundred twenty million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 7 9 19 21 23 57 61 63 69 131 133 161 171 183 207 393 399 427 437 483 549 917 1159 1179 1197 1281 1311 1403 1449 2489 2751 3013 3059 3477 3843 3933 4209 7467 7991 8113 8253 9039 9177 9821 10431 12627 17423 21091 22401 23973 24339 26657 27117 27531 29463 52269 55937 57247 63273 71919 73017 79971 88389 151829 156807 167811 171741 183793 186599 189819 239913 400729 455487 503433 515223 551379 559797 1062803 1202187 1286551 1366461 1654137 1679391 3188409 3492067 3606561 3859653 9565227 10476201 11578959 24444469 31428603 73333407 220000221