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33201 = 3271731
BaseRepresentation
bin1000000110110001
31200112200
420012301
52030301
6413413
7165540
oct100661
950480
1033201
1122a43
1217269
131215c
14c157
159c86
hex81b1

33201 has 24 divisors (see below), whose sum is σ = 59904. Its totient is φ = 17280.

The previous prime is 33199. The next prime is 33203. The reversal of 33201 is 10233.

33201 = 253 + 263.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33199) and next prime (33203).

It is not a de Polignac number, because 33201 - 21 = 33199 is a prime.

It is a super-2 number, since 2×332012 = 2204612802, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33201.

It is not an unprimeable number, because it can be changed into a prime (33203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1056 + ... + 1086.

It is an arithmetic number, because the mean of its divisors is an integer number (2496).

233201 is an apocalyptic number.

33201 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

33201 is a deficient number, since it is larger than the sum of its proper divisors (26703).

33201 is a wasteful number, since it uses less digits than its factorization.

33201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 33201 is about 182.2114156687. The cubic root of 33201 is about 32.1403341935.

Adding to 33201 its reverse (10233), we get a palindrome (43434).

It can be divided in two parts, 3320 and 1, that added together give a triangular number (3321 = T81).

The spelling of 33201 in words is "thirty-three thousand, two hundred one".

Divisors: 1 3 7 9 17 21 31 51 63 93 119 153 217 279 357 527 651 1071 1581 1953 3689 4743 11067 33201