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10005229 = 131940507
BaseRepresentation
bin100110001010…
…101011101101
3200211022121001
4212022223231
510030131404
6554240301
7151020523
oct46125355
920738531
1010005229
115714093
123426091
1320c4070
141486313
15d297a4
hex98aaed

10005229 has 8 divisors (see below), whose sum is σ = 11342240. Its totient is φ = 8749296.

The previous prime is 10005227. The next prime is 10005241. The reversal of 10005229 is 92250001.

10005229 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10005229 - 21 = 10005227 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005227) 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 in 7 ways as a sum of consecutive naturals, for example, 20007 + ... + 20500.

It is an arithmetic number, because the mean of its divisors is an integer number (1417780).

Almost surely, 210005229 is an apocalyptic number.

10005229 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10005229 is a deficient number, since it is larger than the sum of its proper divisors (1337011).

10005229 is a wasteful number, since it uses less digits than its factorization.

10005229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40539.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 10005229 is about 3163.1043296104. The cubic root of 10005229 is about 215.4810142565.

The spelling of 10005229 in words is "ten million, five thousand, two hundred twenty-nine".

Divisors: 1 13 19 247 40507 526591 769633 10005229