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202368029 is a prime number
BaseRepresentation
bin11000000111111…
…10010000011101
3112002210100202012
430003332100131
5403301234104
632025241005
75005046153
oct1403762035
9462710665
10202368029
11a4260106
1257933165
1332c060c6
141cc3b3d3
1512b75d6e
hexc0fe41d

202368029 has 2 divisors, whose sum is σ = 202368030. Its totient is φ = 202368028.

The previous prime is 202367989. The next prime is 202368037. The reversal of 202368029 is 920863202.

202368029 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., 192571129 + 9796900 = 13877^2 + 3130^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-202368029 is a prime.

It is a super-2 number, since 2×2023680292 = 81905638322689682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202367986 and 202368004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202368079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101184014 + 101184015.

It is an arithmetic number, because the mean of its divisors is an integer number (101184015).

Almost surely, 2202368029 is an apocalyptic number.

It is an amenable number.

202368029 is a deficient number, since it is larger than the sum of its proper divisors (1).

202368029 is an equidigital number, since it uses as much as digits as its factorization.

202368029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 202368029 is about 14225.6117267413. The cubic root of 202368029 is about 587.1025507993.

The spelling of 202368029 in words is "two hundred two million, three hundred sixty-eight thousand, twenty-nine".