Search a number
-
+
23239200 = 2535223421
BaseRepresentation
bin101100010100…
…1101000100000
31121201200012010
41120221220200
521422123300
62150032520
7401346525
oct130515040
947650163
1023239200
1112132a56
127948740
134a7890a
14312d14c
152090a50
hex1629a20

23239200 has 144 divisors (see below), whose sum is σ = 79119936. Its totient is φ = 5913600.

The previous prime is 23239199. The next prime is 23239201. The reversal of 23239200 is 293232.

It is an interprime number because it is at equal distance from previous prime (23239199) and next prime (23239201).

It is not an unprimeable number, because it can be changed into a prime (23239201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54990 + ... + 55410.

It is an arithmetic number, because the mean of its divisors is an integer number (549444).

Almost surely, 223239200 is an apocalyptic number.

23239200 is a gapful number since it is divisible by the number (20) 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 23239200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39559968).

23239200 is an abundant number, since it is smaller than the sum of its proper divisors (55880736).

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

23239200 is a wasteful number, since it uses less digits than its factorization.

23239200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 23239200 is about 4820.7053425821. The cubic root of 23239200 is about 285.3691737862.

The spelling of 23239200 in words is "twenty-three million, two hundred thirty-nine thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 46 48 50 60 69 75 80 92 96 100 115 120 138 150 160 184 200 230 240 276 300 345 368 400 421 460 480 552 575 600 690 736 800 842 920 1104 1150 1200 1263 1380 1684 1725 1840 2105 2208 2300 2400 2526 2760 3368 3450 3680 4210 4600 5052 5520 6315 6736 6900 8420 9200 9683 10104 10525 11040 12630 13472 13800 16840 18400 19366 20208 21050 25260 27600 29049 31575 33680 38732 40416 42100 48415 50520 55200 58098 63150 67360 77464 84200 96830 101040 116196 126300 145245 154928 168400 193660 202080 232392 242075 252600 290490 309856 336800 387320 464784 484150 505200 580980 726225 774640 929568 968300 1010400 1161960 1452450 1549280 1936600 2323920 2904900 3873200 4647840 5809800 7746400 11619600 23239200