Search a number
-
+
23301216 = 2533149181
BaseRepresentation
bin101100011100…
…0110001100000
31121211211021000
41120320301200
521431114331
62151232000
7402025401
oct130706140
947754230
1023301216
1112175604
127978600
134a9ac03
1431479a8
1520a40e6
hex1638c60

23301216 has 96 divisors (see below), whose sum is σ = 68796000. Its totient is φ = 7672320.

The previous prime is 23301209. The next prime is 23301221. The reversal of 23301216 is 61210332.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128646 + ... + 128826.

It is an arithmetic number, because the mean of its divisors is an integer number (716625).

Almost surely, 223301216 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 23301216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34398000).

23301216 is an abundant number, since it is smaller than the sum of its proper divisors (45494784).

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

23301216 is a wasteful number, since it uses less digits than its factorization.

23301216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 23301216 is about 4827.1333107757. The cubic root of 23301216 is about 285.6227931812.

Adding to 23301216 its reverse (61210332), we get a palindrome (84511548).

The spelling of 23301216 in words is "twenty-three million, three hundred one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 149 181 216 288 298 362 432 447 543 596 724 864 894 1086 1192 1341 1448 1629 1788 2172 2384 2682 2896 3258 3576 4023 4344 4768 4887 5364 5792 6516 7152 8046 8688 9774 10728 13032 14304 16092 17376 19548 21456 26064 26969 32184 39096 42912 52128 53938 64368 78192 80907 107876 128736 156384 161814 215752 242721 323628 431504 485442 647256 728163 863008 970884 1294512 1456326 1941768 2589024 2912652 3883536 5825304 7767072 11650608 23301216