[go: up one dir, main page]

Search a number
-
+
23638230 = 2345711379
BaseRepresentation
bin101101000101…
…1000011010110
31122110221120000
41122023003112
522022410410
62202352130
7404631060
oct132130326
948427500
1023638230
1112385830
127abb646
134b88425
1431d4730
15211ddc0
hex168b0d6

23638230 has 160 divisors (see below), whose sum is σ = 79453440. Its totient is φ = 4898880.

The previous prime is 23638229. The next prime is 23638231. The reversal of 23638230 is 3283632.

23638230 is a `hidden beast` number, since 2 + 3 + 638 + 23 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23638229) and next prime (23638231).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 23638194 and 23638203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23638231) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 62181 + ... + 62559.

It is an arithmetic number, because the mean of its divisors is an integer number (496584).

Almost surely, 223638230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23638230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39726720).

23638230 is an abundant number, since it is smaller than the sum of its proper divisors (55815210).

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

23638230 is a wasteful number, since it uses less digits than its factorization.

23638230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 23638230 is about 4861.9162888721. The cubic root of 23638230 is about 286.9932294938.

The spelling of 23638230 in words is "twenty-three million, six hundred thirty-eight thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 27 30 33 35 42 45 54 55 63 66 70 77 81 90 99 105 110 126 135 154 162 165 189 198 210 231 270 297 315 330 378 379 385 405 462 495 567 594 630 693 758 770 810 891 945 990 1134 1137 1155 1386 1485 1782 1890 1895 2079 2274 2310 2653 2835 2970 3411 3465 3790 4158 4169 4455 5306 5670 5685 6237 6822 6930 7959 8338 8910 10233 10395 11370 12474 12507 13265 15918 17055 20466 20790 20845 23877 25014 26530 29183 30699 31185 34110 37521 39795 41690 47754 51165 58366 61398 62370 62535 71631 75042 79590 87549 102330 112563 119385 125070 143262 145915 153495 175098 187605 214893 225126 238770 262647 291830 306990 337689 358155 375210 429786 437745 525294 562815 675378 716310 787941 875490 1074465 1125630 1313235 1575882 1688445 2148930 2363823 2626470 3376890 3939705 4727646 7879410 11819115 23638230