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36220141 is a prime number
BaseRepresentation
bin1000101000101…
…0110011101101
32112011011200201
42022022303231
533233021031
63332153501
7616603036
oct212126355
975134621
1036220141
1119499801
1210168891
137672249
144b4ba8d
1532a6d61
hex228aced

36220141 has 2 divisors, whose sum is σ = 36220142. Its totient is φ = 36220140.

The previous prime is 36220111. The next prime is 36220169. The reversal of 36220141 is 14102263.

36220141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31472100 + 4748041 = 5610^2 + 2179^2 .

It is a cyclic number.

It is not a de Polignac number, because 36220141 - 211 = 36218093 is a prime.

It is a super-2 number, since 2×362201412 = 2623797228119762, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36220111) 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 as a sum of consecutive naturals, namely, 18110070 + 18110071.

It is an arithmetic number, because the mean of its divisors is an integer number (18110071).

Almost surely, 236220141 is an apocalyptic number.

It is an amenable number.

36220141 is a deficient number, since it is larger than the sum of its proper divisors (1).

36220141 is an equidigital number, since it uses as much as digits as its factorization.

36220141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 36220141 is about 6018.3171235820. The cubic root of 36220141 is about 330.8644035280.

It can be divided in two parts, 362 and 20141, that added together give a triangular number (20503 = T202).

The spelling of 36220141 in words is "thirty-six million, two hundred twenty thousand, one hundred forty-one".