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23234200 = 23521159179
BaseRepresentation
bin101100010100…
…0011010011000
31121201102022221
41120220122120
521421443300
62145553424
7401326123
oct130503230
947642287
1023234200
111212a220
127945874
134a76562
14312b3ba
15208e31a
hex1628698

23234200 has 96 divisors (see below), whose sum is σ = 60264000. Its totient is φ = 8259200.

The previous prime is 23234179. The next prime is 23234201. The reversal of 23234200 is 243232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23234201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129711 + ... + 129889.

It is an arithmetic number, because the mean of its divisors is an integer number (627750).

Almost surely, 223234200 is an apocalyptic number.

23234200 is a gapful number since it is divisible by the number (20) 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 23234200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30132000).

23234200 is an abundant number, since it is smaller than the sum of its proper divisors (37029800).

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

23234200 is a wasteful number, since it uses less digits than its factorization.

23234200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 23234200 is about 4820.1867183751. The cubic root of 23234200 is about 285.3487062398.

Adding to 23234200 its reverse (243232), we get a palindrome (23477432).

The spelling of 23234200 in words is "twenty-three million, two hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 59 88 100 110 118 179 200 220 236 275 295 358 440 472 550 590 649 716 895 1100 1180 1298 1432 1475 1790 1969 2200 2360 2596 2950 3245 3580 3938 4475 5192 5900 6490 7160 7876 8950 9845 10561 11800 12980 15752 16225 17900 19690 21122 25960 32450 35800 39380 42244 49225 52805 64900 78760 84488 98450 105610 116171 129800 196900 211220 232342 264025 393800 422440 464684 528050 580855 929368 1056100 1161710 2112200 2323420 2904275 4646840 5808550 11617100 23234200