Search a number
-
+
23111144 = 23721929107
BaseRepresentation
bin101100000101…
…0010111101000
31121111011112022
41120022113220
521404024034
62143204012
7400304300
oct130122750
947434468
1023111144
1112055821
1278a6608
134a32544
1430d8600
152067b2e
hex160a5e8

23111144 has 96 divisors (see below), whose sum is σ = 55404000. Its totient is φ = 8975232.

The previous prime is 23111119. The next prime is 23111149. The reversal of 23111144 is 44111132.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (23111149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215939 + ... + 216045.

It is an arithmetic number, because the mean of its divisors is an integer number (577125).

Almost surely, 223111144 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 23111144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27702000).

23111144 is an abundant number, since it is smaller than the sum of its proper divisors (32292856).

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

23111144 is a wasteful number, since it uses less digits than its factorization.

23111144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 164 counting only the distinct ones).

The product of its digits is 96, while the sum is 17.

The square root of 23111144 is about 4807.4051212686. The cubic root of 23111144 is about 284.8440472314.

Adding to 23111144 its reverse (44111132), we get a palindrome (67222276).

The spelling of 23111144 in words is "twenty-three million, one hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 19 28 29 38 49 56 58 76 98 107 116 133 152 196 203 214 232 266 392 406 428 532 551 749 812 856 931 1064 1102 1421 1498 1624 1862 2033 2204 2842 2996 3103 3724 3857 4066 4408 5243 5684 5992 6206 7448 7714 8132 10486 11368 12412 14231 15428 16264 20972 21721 24824 26999 28462 30856 41944 43442 53998 56924 58957 86884 99617 107996 113848 117914 152047 173768 199234 215992 235828 304094 398468 412699 471656 608188 796936 825398 1216376 1650796 2888893 3301592 5777786 11555572 23111144