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221222105 = 51317200201
BaseRepresentation
bin11010010111110…
…01010011011001
3120102021020200022
431023321103121
5423113101410
633541320225
75324233256
oct1513712331
9512236608
10221222105
11103968495
1262106075
1336aa7a70
142154842d
151464c455
hexd2f94d9

221222105 has 16 divisors (see below), whose sum is σ = 302705424. Its totient is φ = 153753600.

The previous prime is 221222087. The next prime is 221222123. The reversal of 221222105 is 501222122.

It is an interprime number because it is at equal distance from previous prime (221222087) and next prime (221222123).

It can be written as a sum of positive squares in 8 ways, for example, as 33860761 + 187361344 = 5819^2 + 13688^2 .

It is not a de Polignac number, because 221222105 - 28 = 221221849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98996 + ... + 101205.

It is an arithmetic number, because the mean of its divisors is an integer number (18919089).

Almost surely, 2221222105 is an apocalyptic number.

It is an amenable number.

221222105 is a deficient number, since it is larger than the sum of its proper divisors (81483319).

221222105 is a wasteful number, since it uses less digits than its factorization.

221222105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200236.

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 221222105 is about 14873.5370709189. The cubic root of 221222105 is about 604.7968308990.

Adding to 221222105 its sum of digits (17), we get a palindrome (221222122).

Adding to 221222105 its reverse (501222122), we get a palindrome (722444227).

The spelling of 221222105 in words is "two hundred twenty-one million, two hundred twenty-two thousand, one hundred five".

Divisors: 1 5 13 17 65 85 221 1105 200201 1001005 2602613 3403417 13013065 17017085 44244421 221222105