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10222016 = 26722817
BaseRepresentation
bin100110111111…
…100111000000
3201020022222012
4212333213000
510104101031
61003032052
7152612540
oct46774700
921208865
1010222016
115851a52
12350b628
13216b93c
141501320
15d6db2b
hex9bf9c0

10222016 has 28 divisors (see below), whose sum is σ = 23183088. Its totient is φ = 4380672.

The previous prime is 10222013. The next prime is 10222039. The reversal of 10222016 is 61022201.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×102220162 = 208979222208512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10961 + ... + 11856.

Almost surely, 210222016 is an apocalyptic number.

10222016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10222016 is an abundant number, since it is smaller than the sum of its proper divisors (12961072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10222016 is an equidigital number, since it uses as much as digits as its factorization.

10222016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22836 (or 22826 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 10222016 is about 3197.1887651498. The cubic root of 10222016 is about 217.0262096086.

Adding to 10222016 its reverse (61022201), we get a palindrome (71244217).

The spelling of 10222016 in words is "ten million, two hundred twenty-two thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 22817 45634 91268 159719 182536 319438 365072 638876 730144 1277752 1460288 2555504 5111008 10222016