Search a number
-
+
23000016 = 24313293141
BaseRepresentation
bin101011110111…
…1001111010000
31121021112002110
41113233033100
521342000031
62140545320
7366332304
oct127571720
947245073
1023000016
1111a8a286
127852240
1349c3aa0
1430a9d04
152044c46
hex15ef3d0

23000016 has 160 divisors (see below), whose sum is σ = 69995520. Its totient is φ = 6451200.

The previous prime is 23000011. The next prime is 23000027. The reversal of 23000016 is 61000032.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22999965 and 23000010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23000011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 560956 + ... + 560996.

It is an arithmetic number, because the mean of its divisors is an integer number (437472).

Almost surely, 223000016 is an apocalyptic number.

23000016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23000016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34997760).

23000016 is an abundant number, since it is smaller than the sum of its proper divisors (46995504).

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

23000016 is a wasteful number, since it uses less digits than its factorization.

23000016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 23000016 is about 4795.8331914277. The cubic root of 23000016 is about 284.3867639299.

Adding to 23000016 its reverse (61000032), we get a palindrome (84000048).

The spelling of 23000016 in words is "twenty-three million, sixteen", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 31 39 41 48 52 58 62 78 82 87 93 104 116 123 124 156 164 174 186 208 232 246 248 312 328 348 372 377 403 464 492 496 533 624 656 696 744 754 806 899 984 1066 1131 1189 1209 1271 1392 1488 1508 1599 1612 1798 1968 2132 2262 2378 2418 2542 2697 3016 3198 3224 3567 3596 3813 4264 4524 4756 4836 5084 5394 6032 6396 6448 7134 7192 7626 8528 9048 9512 9672 10168 10788 11687 12792 14268 14384 15252 15457 16523 18096 19024 19344 20336 21576 23374 25584 28536 30504 30914 33046 35061 36859 43152 46371 46748 49569 57072 61008 61828 66092 70122 73718 92742 93496 99138 110577 123656 132184 140244 147436 185484 186992 198276 221154 247312 264368 280488 294872 370968 396552 442308 479167 560976 589744 741936 793104 884616 958334 1437501 1769232 1916668 2875002 3833336 5750004 7666672 11500008 23000016