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23321144 = 23711172131
BaseRepresentation
bin101100011110…
…1101000111000
31121212211121002
41120331220320
521432234034
62151504132
7402140450
oct130755070
947784532
1023321144
1112189580
127988048
134aa6cc2
143150d60
1520a9e7e
hex163da38

23321144 has 96 divisors (see below), whose sum is σ = 58354560. Its totient is φ = 8486400.

The previous prime is 23321143. The next prime is 23321147. The reversal of 23321144 is 44112332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23321141) 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 23 ways as a sum of consecutive naturals, for example, 177959 + ... + 178089.

It is an arithmetic number, because the mean of its divisors is an integer number (607860).

Almost surely, 223321144 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 23321144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29177280).

23321144 is an abundant number, since it is smaller than the sum of its proper divisors (35033416).

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

23321144 is a wasteful number, since it uses less digits than its factorization.

23321144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 168 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 23321144 is about 4829.1970347046. The cubic root of 23321144 is about 285.7041947865.

Adding to 23321144 its reverse (44112332), we get a palindrome (67433476).

The spelling of 23321144 in words is "twenty-three million, three hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 77 88 119 131 136 154 187 238 262 289 308 374 476 524 578 616 748 917 952 1048 1156 1309 1441 1496 1834 2023 2227 2312 2618 2882 3179 3668 4046 4454 5236 5764 6358 7336 8092 8908 10087 10472 11528 12716 15589 16184 17816 20174 22253 24497 25432 31178 37859 40348 44506 48994 62356 75718 80696 89012 97988 124712 151436 171479 178024 195976 265013 302872 342958 416449 530026 685916 832898 1060052 1371832 1665796 2120104 2915143 3331592 5830286 11660572 23321144