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23564430 = 2325436089
BaseRepresentation
bin101100111100…
…1000010001110
31122100012022200
41121321002032
522013030210
62201022330
7404202651
oct131710216
948305280
1023564430
111233533a
127a849a6
134b60966
1431b5898
1521070c0
hex167908e

23564430 has 48 divisors (see below), whose sum is σ = 62702640. Its totient is φ = 6136704.

The previous prime is 23564419. The next prime is 23564461. The reversal of 23564430 is 3446532.

It is a super-2 number, since 2×235644302 = 1110564722449800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23564394 and 23564403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 826 + ... + 6914.

It is an arithmetic number, because the mean of its divisors is an integer number (1306305).

Almost surely, 223564430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23564430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31351320).

23564430 is an abundant number, since it is smaller than the sum of its proper divisors (39138210).

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

23564430 is a wasteful number, since it uses less digits than its factorization.

23564430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6145 (or 6142 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 23564430 is about 4854.3207557804. The cubic root of 23564430 is about 286.6942479922.

It can be divided in two parts, 2356 and 4430, that added together give a triangular number (6786 = T116).

The spelling of 23564430 in words is "twenty-three million, five hundred sixty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 1290 1935 3870 6089 12178 18267 30445 36534 54801 60890 91335 109602 182670 261827 274005 523654 548010 785481 1309135 1570962 2356443 2618270 3927405 4712886 7854810 11782215 23564430