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23102082 = 2321724441
BaseRepresentation
bin101100000100…
…0001010000010
31121110201002200
41120020022002
521403231312
62143054030
7400236003
oct130101202
947421080
1023102082
1112049a33
1278a1316
134a2b393
1430d51aa
1520650dc
hex1608282

23102082 has 36 divisors (see below), whose sum is σ = 53184066. Its totient is φ = 7246080.

The previous prime is 23102039. The next prime is 23102083. The reversal of 23102082 is 28020132.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 22553001 + 549081 = 4749^2 + 741^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23102083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2982 + ... + 7422.

Almost surely, 223102082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23102082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26592033).

23102082 is an abundant number, since it is smaller than the sum of its proper divisors (30081984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23102082 is a wasteful number, since it uses less digits than its factorization.

23102082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4483 (or 4463 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 23102082 is about 4806.4625245600. The cubic root of 23102082 is about 284.8068127526.

The spelling of 23102082 in words is "twenty-three million, one hundred two thousand, eighty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 289 306 578 867 1734 2601 4441 5202 8882 13323 26646 39969 75497 79938 150994 226491 452982 679473 1283449 1358946 2566898 3850347 7700694 11551041 23102082