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22307201 = 722411889
BaseRepresentation
bin101010100011…
…0000110000001
31112222022201122
41111012012001
521202312301
62114042025
7360415400
oct125060601
945868648
1022307201
1111656804
127579315
134810637
142d69637
151e5981b
hex1546181

22307201 has 12 divisors (see below), whose sum is σ = 26070660. Its totient is φ = 19031040.

The previous prime is 22307191. The next prime is 22307203. The reversal of 22307201 is 10270322.

It can be written as a sum of positive squares in 2 ways, for example, as 13868176 + 8439025 = 3724^2 + 2905^2 .

It is not a de Polignac number, because 22307201 - 214 = 22290817 is a prime.

It is a super-3 number, since 3×223072013 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 22307201.

It is not an unprimeable number, because it can be changed into a prime (22307203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10865 + ... + 12753.

It is an arithmetic number, because the mean of its divisors is an integer number (2172555).

Almost surely, 222307201 is an apocalyptic number.

It is an amenable number.

22307201 is a deficient number, since it is larger than the sum of its proper divisors (3763459).

22307201 is a wasteful number, since it uses less digits than its factorization.

22307201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 22307201 is about 4723.0499679762. The cubic root of 22307201 is about 281.5021353135.

Adding to 22307201 its reverse (10270322), we get a palindrome (32577523).

The spelling of 22307201 in words is "twenty-two million, three hundred seven thousand, two hundred one".

Divisors: 1 7 49 241 1687 1889 11809 13223 92561 455249 3186743 22307201