Search a number
-
+
23233200 = 24352191019
BaseRepresentation
bin101100010100…
…0001010110000
31121201100221220
41120220022300
521421430300
62145545040
7401323164
oct130501260
947640856
1023233200
11121294a1
127945180
134a75c73
14312aca4
15208dda0
hex16282b0

23233200 has 120 divisors (see below), whose sum is σ = 78417600. Its totient is φ = 5863680.

The previous prime is 23233159. The next prime is 23233211. The reversal of 23233200 is 233232.

Adding to 23233200 its reverse (233232), we get a palindrome (23466432).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23233200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22291 + ... + 23309.

It is an arithmetic number, because the mean of its divisors is an integer number (653480).

Almost surely, 223233200 is an apocalyptic number.

23233200 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 23233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39208800).

23233200 is an abundant number, since it is smaller than the sum of its proper divisors (55184400).

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

23233200 is a wasteful number, since it uses less digits than its factorization.

23233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 23233200 is about 4820.0829868375. The cubic root of 23233200 is about 285.3446123782.

The spelling of 23233200 in words is "twenty-three million, two hundred thirty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 150 152 190 200 228 240 285 300 304 380 400 456 475 570 600 760 912 950 1019 1140 1200 1425 1520 1900 2038 2280 2850 3057 3800 4076 4560 5095 5700 6114 7600 8152 10190 11400 12228 15285 16304 19361 20380 22800 24456 25475 30570 38722 40760 48912 50950 58083 61140 76425 77444 81520 96805 101900 116166 122280 152850 154888 193610 203800 232332 244560 290415 305700 309776 387220 407600 464664 484025 580830 611400 774440 929328 968050 1161660 1222800 1452075 1548880 1936100 2323320 2904150 3872200 4646640 5808300 7744400 11616600 23233200