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201893601 = 37131938923
BaseRepresentation
bin11000000100010…
…10011011100001
3112001220020221210
430002022123201
5403141043401
632011140333
75001032040
oct1402123341
9461806853
10201893601
11a3a66718
12577446a9
1332a9b190
141cb56557
1512ad04d6
hexc08a6e1

201893601 has 32 divisors (see below), whose sum is σ = 348759040. Its totient is φ = 100885824.

The previous prime is 201893543. The next prime is 201893603. The reversal of 201893601 is 106398102.

It is not a de Polignac number, because 201893601 - 26 = 201893537 is a prime.

It is a super-2 number, since 2×2018936012 = 81522052249494402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201893603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14275 + ... + 24648.

It is an arithmetic number, because the mean of its divisors is an integer number (10898720).

Almost surely, 2201893601 is an apocalyptic number.

201893601 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201893601 is a deficient number, since it is larger than the sum of its proper divisors (146865439).

201893601 is a wasteful number, since it uses less digits than its factorization.

201893601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38965.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 201893601 is about 14208.9268067648. The cubic root of 201893601 is about 586.6433942143.

The spelling of 201893601 in words is "two hundred one million, eight hundred ninety-three thousand, six hundred one".

Divisors: 1 3 7 13 19 21 39 57 91 133 247 273 399 741 1729 5187 38923 116769 272461 505999 739537 817383 1517997 2218611 3541993 5176759 9613981 10625979 15530277 28841943 67297867 201893601