Search a number
-
+
23189400 = 23325213991
BaseRepresentation
bin101100001110…
…1011110011000
31121122010212200
41120131132120
521414030100
62145010200
7401051403
oct130353630
947563780
1023189400
11120a95a3
127923960
134a5c050
143118d3a
152080e00
hex161d798

23189400 has 144 divisors (see below), whose sum is σ = 83952960. Its totient is φ = 5702400.

The previous prime is 23189393. The next prime is 23189401. The reversal of 23189400 is 498132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23189401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22905 + ... + 23895.

Almost surely, 223189400 is an apocalyptic number.

23189400 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 23189400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41976480).

23189400 is an abundant number, since it is smaller than the sum of its proper divisors (60763560).

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

23189400 is a wasteful number, since it uses less digits than its factorization.

23189400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 23189400 is about 4815.5373531933. The cubic root of 23189400 is about 285.1651858650.

The spelling of 23189400 in words is "twenty-three million, one hundred eighty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 90 100 104 117 120 130 150 156 180 195 200 225 234 260 300 312 325 360 390 450 468 520 585 600 650 780 900 936 975 991 1170 1300 1560 1800 1950 1982 2340 2600 2925 2973 3900 3964 4680 4955 5850 5946 7800 7928 8919 9910 11700 11892 12883 14865 17838 19820 23400 23784 24775 25766 29730 35676 38649 39640 44595 49550 51532 59460 64415 71352 74325 77298 89190 99100 103064 115947 118920 128830 148650 154596 178380 193245 198200 222975 231894 257660 297300 309192 322075 356760 386490 445950 463788 515320 579735 594600 644150 772980 891900 927576 966225 1159470 1288300 1545960 1783800 1932450 2318940 2576600 2898675 3864900 4637880 5797350 7729800 11594700 23189400