Search a number
-
+
23830224 = 243113373
BaseRepresentation
bin101101011100…
…1111011010000
31122211200220220
41122321323100
522100031344
62210433040
7406360605
oct132717320
948750826
1023830224
11124a7000
127b92780
134c24932
1432446ac
15215ac19
hex16b9ed0

23830224 has 80 divisors (see below), whose sum is σ = 67894464. Its totient is φ = 7201920.

The previous prime is 23830217. The next prime is 23830229. The reversal of 23830224 is 42203832.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 23830194 and 23830203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23830229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63702 + ... + 64074.

Almost surely, 223830224 is an apocalyptic number.

23830224 is a gapful number since it is divisible by the number (24) 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 23830224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33947232).

23830224 is an abundant number, since it is smaller than the sum of its proper divisors (44064240).

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

23830224 is a wasteful number, since it uses less digits than its factorization.

23830224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 23830224 is about 4881.6210422359. The cubic root of 23830224 is about 287.7681390024.

The spelling of 23830224 in words is "twenty-three million, eight hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 373 484 528 726 746 968 1119 1331 1452 1492 1936 2238 2662 2904 2984 3993 4103 4476 5324 5808 5968 7986 8206 8952 10648 12309 15972 16412 17904 21296 24618 31944 32824 45133 49236 63888 65648 90266 98472 135399 180532 196944 270798 361064 496463 541596 722128 992926 1083192 1489389 1985852 2166384 2978778 3971704 5957556 7943408 11915112 23830224