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23320321232 = 24131929673037
BaseRepresentation
bin10101101101111111…
…111101110011010000
32020012020022001201012
4111231333331303100
5340230000234412
614414015230052
71453620313505
oct255577756320
966166261635
1023320321232
11998779355a
124629b18328
132278553660
1411b32714ac
159174d4c22
hex56dffdcd0

23320321232 has 160 divisors (see below), whose sum is σ = 53794473600. Its totient is φ = 9694992384.

The previous prime is 23320321229. The next prime is 23320321273. The reversal of 23320321232 is 23212302332.

It is a junction number, because it is equal to n+sod(n) for n = 23320321198 and 23320321207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7677218 + ... + 7680254.

It is an arithmetic number, because the mean of its divisors is an integer number (336215460).

Almost surely, 223320321232 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 23320321232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26897236800).

23320321232 is an abundant number, since it is smaller than the sum of its proper divisors (30474152368).

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

23320321232 is a wasteful number, since it uses less digits than its factorization.

23320321232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173 (or 3167 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 23320321232 its reverse (23212302332), we get a palindrome (46532623564).

The spelling of 23320321232 in words is "twenty-three billion, three hundred twenty million, three hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 19 26 29 38 52 58 67 76 104 116 134 152 208 232 247 268 304 377 464 494 536 551 754 871 988 1072 1102 1273 1508 1742 1943 1976 2204 2546 3016 3037 3484 3886 3952 4408 5092 6032 6074 6968 7163 7772 8816 10184 12148 13936 14326 15544 16549 20368 24296 25259 28652 31088 33098 36917 39481 48592 50518 57304 57703 66196 73834 78962 88073 101036 114608 115406 132392 147668 157924 176146 202072 203479 230812 264784 295336 315848 352292 404144 406958 461624 479921 590672 631696 704584 750139 813916 923248 959842 1144949 1409168 1500278 1627832 1673387 1919684 2289898 2645227 3000556 3255664 3346774 3839368 3866101 4579796 5290454 5900891 6001112 6693548 7678736 7732202 9159592 10580908 11801782 12002224 13387096 15464404 18319184 21161816 21754031 23603564 26774192 30928808 42323632 43508062 47207128 50259313 61857616 76711583 87016124 94414256 100518626 112116929 153423166 174032248 201037252 224233858 306846332 348064496 402074504 448467716 613692664 804149008 896935432 1227385328 1457520077 1793870864 2915040154 5830080308 11660160616 23320321232