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23000516 = 22711531409
BaseRepresentation
bin101011110111…
…1010111000100
31121021112202222
41113233113010
521342004031
62140551512
7366333620
oct127572704
947245688
1023000516
1111a8a6a0
127852598
1349c4096
1430aa180
152044e7b
hex15ef5c4

23000516 has 48 divisors (see below), whose sum is σ = 51166080. Its totient is φ = 8785920.

The previous prime is 23000513. The next prime is 23000533. The reversal of 23000516 is 61500032.

It is a junction number, because it is equal to n+sod(n) for n = 23000494 and 23000503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23000513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15620 + ... + 17028.

It is an arithmetic number, because the mean of its divisors is an integer number (1065960).

Almost surely, 223000516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23000516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25583040).

23000516 is an abundant number, since it is smaller than the sum of its proper divisors (28165564).

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

23000516 is a wasteful number, since it uses less digits than its factorization.

23000516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 23000516 is about 4795.8853197298. The cubic root of 23000516 is about 284.3888246872.

Adding to 23000516 its reverse (61500032), we get a palindrome (84500548).

The spelling of 23000516 in words is "twenty-three million, five hundred sixteen", and thus it is an aban number.

Divisors: 1 2 4 7 11 14 22 28 44 53 77 106 154 212 308 371 583 742 1166 1409 1484 2332 2818 4081 5636 8162 9863 15499 16324 19726 30998 39452 61996 74677 108493 149354 216986 298708 433972 522739 821447 1045478 1642894 2090956 3285788 5750129 11500258 23000516