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23235564 = 223111031709
BaseRepresentation
bin101100010100…
…0101111101100
31121201111012110
41120220233230
521422014224
62150004020
7401333112
oct130505754
947644173
1023235564
1112130250
127946610
134a77071
14312bab2
15208e929
hex1628bec

23235564 has 48 divisors (see below), whose sum is σ = 59754240. Its totient is φ = 6968640.

The previous prime is 23235551. The next prime is 23235581. The reversal of 23235564 is 46553232.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12742 + ... + 14450.

It is an arithmetic number, because the mean of its divisors is an integer number (1244880).

Almost surely, 223235564 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 23235564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29877120).

23235564 is an abundant number, since it is smaller than the sum of its proper divisors (36518676).

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

23235564 is a wasteful number, since it uses less digits than its factorization.

23235564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1828 counting only the distinct ones).

The product of its digits is 21600, while the sum is 30.

The square root of 23235564 is about 4820.3282045935. The cubic root of 23235564 is about 285.3542900777.

Adding to 23235564 its reverse (46553232), we get a palindrome (69788796).

It can be divided in two parts, 2323 and 5564, that added together give a palindrome (7887).

The spelling of 23235564 in words is "twenty-three million, two hundred thirty-five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 103 132 206 309 412 618 1133 1236 1709 2266 3399 3418 4532 5127 6798 6836 10254 13596 18799 20508 37598 56397 75196 112794 176027 225588 352054 528081 704108 1056162 1936297 2112324 3872594 5808891 7745188 11617782 23235564