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225016324105 = 5433166962273
BaseRepresentation
bin1101000110010000000…
…1001010000000001001
3210111210202220121202211
43101210001022000021
512141313134332410
6251212052425121
722154054124346
oct3214401120011
9714722817684
10225016324105
1187479937821
12377396181a1
13182b004c911
14ac686b77cd
155cbe7bd68a
hex346404a009

225016324105 has 16 divisors (see below), whose sum is σ = 270809698320. Its totient is φ = 179486834688.

The previous prime is 225016323971. The next prime is 225016324121. The reversal of 225016324105 is 501423610522.

It can be written as a sum of positive squares in 8 ways, for example, as 26300081929 + 198716242176 = 162173^2 + 445776^2 .

It is a cyclic number.

It is not a de Polignac number, because 225016324105 - 213 = 225016315913 is a prime.

It is a super-2 number, since 2×2250163241052 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3582249 + ... + 3644521.

It is an arithmetic number, because the mean of its divisors is an integer number (16925606145).

Almost surely, 2225016324105 is an apocalyptic number.

It is an amenable number.

225016324105 is a deficient number, since it is larger than the sum of its proper divisors (45793374215).

225016324105 is a wasteful number, since it uses less digits than its factorization.

225016324105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64380.

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 225016324105 its reverse (501423610522), we get a palindrome (726439934627).

The spelling of 225016324105 in words is "two hundred twenty-five billion, sixteen million, three hundred twenty-four thousand, one hundred five".

Divisors: 1 5 433 1669 2165 8345 62273 311365 722677 3613385 26964209 103933637 134821045 519668185 45003264821 225016324105