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23352032 = 2511237163
BaseRepresentation
bin101100100010…
…1001011100000
31121221101222002
41121011023200
521434231112
62152303132
7402326504
oct131051340
947841862
1023352032
11121aa800
1279a1aa8
134ab8092
14315c304
1520b41c2
hex16452e0

23352032 has 72 divisors (see below), whose sum is σ = 52217928. Its totient is φ = 10264320.

The previous prime is 23352031. The next prime is 23352037. The reversal of 23352032 is 23025332.

It is a junction number, because it is equal to n+sod(n) for n = 23351995 and 23352013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23352031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143183 + ... + 143345.

It is an arithmetic number, because the mean of its divisors is an integer number (725249).

Almost surely, 223352032 is an apocalyptic number.

23352032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23352032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26108964).

23352032 is an abundant number, since it is smaller than the sum of its proper divisors (28865896).

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

23352032 is a wasteful number, since it uses less digits than its factorization.

23352032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 23352032 is about 4832.3940236698. The cubic root of 23352032 is about 285.8302740500.

Adding to 23352032 its reverse (23025332), we get a palindrome (46377364).

The spelling of 23352032 in words is "twenty-three million, three hundred fifty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 88 121 148 163 176 242 296 326 352 407 484 592 652 814 968 1184 1304 1628 1793 1936 2608 3256 3586 3872 4477 5216 6031 6512 7172 8954 12062 13024 14344 17908 19723 24124 28688 35816 39446 48248 57376 66341 71632 78892 96496 132682 143264 157784 192992 265364 315568 530728 631136 729751 1061456 1459502 2122912 2919004 5838008 11676016 23352032