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23282129 = 131726197
BaseRepresentation
bin101100011010…
…0000111010001
31121210212002002
41120310013101
521430012004
62151003345
7401615633
oct130640721
947725062
1023282129
1112162232
127969555
134a92310
143140a53
15209d61e
hex16341d1

23282129 has 12 divisors (see below), whose sum is σ = 26639004. Its totient is φ = 20223744.

The previous prime is 23282123. The next prime is 23282131. The reversal of 23282129 is 92128232.

It can be written as a sum of positive squares in 6 ways, for example, as 49729 + 23232400 = 223^2 + 4820^2 .

It is not a de Polignac number, because 23282129 - 212 = 23278033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23282123) 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 11 ways as a sum of consecutive naturals, for example, 659 + ... + 6855.

It is an arithmetic number, because the mean of its divisors is an integer number (2219917).

Almost surely, 223282129 is an apocalyptic number.

It is an amenable number.

23282129 is a deficient number, since it is larger than the sum of its proper divisors (3356875).

23282129 is a wasteful number, since it uses less digits than its factorization.

23282129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6244 (or 6227 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 23282129 is about 4825.1558524052. The cubic root of 23282129 is about 285.5447833541.

The spelling of 23282129 in words is "twenty-three million, two hundred eighty-two thousand, one hundred twenty-nine".

Divisors: 1 13 17 221 289 3757 6197 80561 105349 1369537 1790933 23282129