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23781216 = 2533161131
BaseRepresentation
bin101101010110…
…1111101100000
31122202012200210
41122231331200
522041444331
62205414120
7406064664
oct132557540
948665623
1023781216
11124731a8
127b6a340
134c08534
1432308a4
15214b446
hex16adf60

23781216 has 96 divisors (see below), whose sum is σ = 65995776. Its totient is φ = 7488000.

The previous prime is 23781203. The next prime is 23781221. The reversal of 23781216 is 61218732.

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

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, 181471 + ... + 181601.

It is an arithmetic number, because the mean of its divisors is an integer number (687456).

Almost surely, 223781216 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 23781216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32997888).

23781216 is an abundant number, since it is smaller than the sum of its proper divisors (42214560).

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

23781216 is a wasteful number, since it uses less digits than its factorization.

23781216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 228 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 23781216 is about 4876.5988147478. The cubic root of 23781216 is about 287.5707339506.

Adding to 23781216 its reverse (61218732), we get a palindrome (84999948).

The spelling of 23781216 in words is "twenty-three million, seven hundred eighty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 61 62 93 96 122 124 131 183 186 244 248 262 366 372 393 488 496 524 732 744 786 976 992 1048 1464 1488 1572 1891 1952 2096 2928 2976 3144 3782 4061 4192 5673 5856 6288 7564 7991 8122 11346 12183 12576 15128 15982 16244 22692 23973 24366 30256 31964 32488 45384 47946 48732 60512 63928 64976 90768 95892 97464 127856 129952 181536 191784 194928 247721 255712 383568 389856 495442 743163 767136 990884 1486326 1981768 2972652 3963536 5945304 7927072 11890608 23781216