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22302007 = 7213157223
BaseRepresentation
bin101010100010…
…0110100110111
31112222001121021
41111010310313
521202131012
62114002011
7360364300
oct125046467
945861537
1022302007
1111652912
127576307
13480b170
142d677a7
151e58007
hex1544d37

22302007 has 24 divisors (see below), whose sum is σ = 28242816. Its totient is φ = 17454528.

The previous prime is 22301987. The next prime is 22302013. The reversal of 22302007 is 70020322.

It is a happy number.

It is not a de Polignac number, because 22302007 - 27 = 22301879 is a prime.

It is the 4723-rd Hogben number.

22302007 is a modest number, since divided by 2007 gives 223 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22302047) by changing a digit.

It is a nontrivial repunit in base 4722.

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 23 ways as a sum of consecutive naturals, for example, 99898 + ... + 100120.

It is an arithmetic number, because the mean of its divisors is an integer number (1176784).

Almost surely, 222302007 is an apocalyptic number.

22302007 is a deficient number, since it is larger than the sum of its proper divisors (5940809).

22302007 is a wasteful number, since it uses less digits than its factorization.

22302007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 22302007 is about 4722.5000794071. The cubic root of 22302007 is about 281.4802853351.

Adding to 22302007 its reverse (70020322), we get a palindrome (92322329).

The spelling of 22302007 in words is "twenty-two million, three hundred two thousand, seven".

Divisors: 1 7 13 49 91 157 223 637 1099 1561 2041 2899 7693 10927 14287 20293 35011 100009 142051 245077 455143 1715539 3186001 22302007