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166353201 = 3272640527
BaseRepresentation
bin10011110101001…
…01100100110001
3102121000121200200
421322211210301
5320041300301
624301305413
74056656520
oct1172454461
9377017620
10166353201
11859a1693
1247865269
1328606461
14181444b7
15e90ec86
hex9ea5931

166353201 has 12 divisors (see below), whose sum is σ = 274614912. Its totient is φ = 95058936.

The previous prime is 166353199. The next prime is 166353217. The reversal of 166353201 is 102353661.

166353201 is a `hidden beast` number, since 1 + 6 + 635 + 3 + 20 + 1 = 666.

166353201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 166353201 - 21 = 166353199 is a prime.

It is a super-3 number, since 3×1663532013 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (166353241) 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, 1320201 + ... + 1320326.

It is an arithmetic number, because the mean of its divisors is an integer number (22884576).

Almost surely, 2166353201 is an apocalyptic number.

It is an amenable number.

166353201 is a deficient number, since it is larger than the sum of its proper divisors (108261711).

166353201 is a wasteful number, since it uses less digits than its factorization.

166353201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640540 (or 2640537 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 166353201 is about 12897.7983004852. The cubic root of 166353201 is about 549.9759780142.

The spelling of 166353201 in words is "one hundred sixty-six million, three hundred fifty-three thousand, two hundred one".

Divisors: 1 3 7 9 21 63 2640527 7921581 18483689 23764743 55451067 166353201