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221232105 = 32519416311
BaseRepresentation
bin11010010111110…
…11101111101001
3120102021202101200
431023323233221
5423113411410
633541434413
75324304363
oct1513735751
9512252350
10221232105
11103974a56
126210ba09
1336aac493
142154bd33
15146503c0
hexd2fbbe9

221232105 has 48 divisors (see below), whose sum is σ = 413562240. Its totient is φ = 109036800.

The previous prime is 221232103. The next prime is 221232113. The reversal of 221232105 is 501232122.

It is not a de Polignac number, because 221232105 - 21 = 221232103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221232103) 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 47 ways as a sum of consecutive naturals, for example, 31900 + ... + 38210.

It is an arithmetic number, because the mean of its divisors is an integer number (8615880).

Almost surely, 2221232105 is an apocalyptic number.

It is an amenable number.

221232105 is a deficient number, since it is larger than the sum of its proper divisors (192330135).

221232105 is a wasteful number, since it uses less digits than its factorization.

221232105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6382 (or 6379 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 221232105 is about 14873.8732346353. The cubic root of 221232105 is about 604.8059437273.

Adding to 221232105 its reverse (501232122), we get a palindrome (722464227).

The spelling of 221232105 in words is "two hundred twenty-one million, two hundred thirty-two thousand, one hundred five".

Divisors: 1 3 5 9 15 19 41 45 57 95 123 171 205 285 369 615 779 855 1845 2337 3895 6311 7011 11685 18933 31555 35055 56799 94665 119909 258751 283995 359727 599545 776253 1079181 1293755 1798635 2328759 3881265 4916269 5395905 11643795 14748807 24581345 44246421 73744035 221232105