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7207201 = 173531201
BaseRepresentation
bin11011011111100100100001
3111120011102101
4123133210201
53321112301
6414250401
7115155151
oct33374441
914504371
107207201
114082971
1224b6a01
131654621
14d58761
15975701
hex6df921

7207201 has 8 divisors (see below), whose sum is σ = 7659144. Its totient is φ = 6758400.

The previous prime is 7207181. The next prime is 7207223. The reversal of 7207201 is 1027027.

It can be written as a sum of positive squares in 4 ways, for example, as 104976 + 7102225 = 324^2 + 2665^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 3-Lehmer number, since φ(7207201) divides (7207201-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 7207201 - 25 = 7207169 is a prime.

It is a deceptive number, since it divides R7207200.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7207231) 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 7 ways as a sum of consecutive naturals, for example, 5401 + ... + 6601.

It is an arithmetic number, because the mean of its divisors is an integer number (957393).

It is a Poulet number, since it divides 27207200-1.

Almost surely, 27207201 is an apocalyptic number.

It is an amenable number.

7207201 is a deficient number, since it is larger than the sum of its proper divisors (451943).

7207201 is a wasteful number, since it uses less digits than its factorization.

7207201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571.

The product of its (nonzero) digits is 196, while the sum is 19.

The square root of 7207201 is about 2684.6230647895. The cubic root of 7207201 is about 193.1622303705.

It can be divided in two parts, 720 and 7201, that added together give a square (7921 = 892).

The spelling of 7207201 in words is "seven million, two hundred seven thousand, two hundred one".

Divisors: 1 17 353 1201 6001 20417 423953 7207201