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23180256 = 253511271
BaseRepresentation
bin101100001101…
…1001111100000
31121121200100000
41120123033200
521413232011
62144500000
7401012631
oct130331740
947550300
1023180256
11120a2740
12791a600
134a57b38
143115888
15207d356
hex161b3e0

23180256 has 144 divisors (see below), whose sum is σ = 74850048. Its totient is φ = 6998400.

The previous prime is 23180243. The next prime is 23180257. The reversal of 23180256 is 65208132.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23180257) 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, 85401 + ... + 85671.

It is an arithmetic number, because the mean of its divisors is an integer number (519792).

Almost surely, 223180256 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 23180256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37425024).

23180256 is an abundant number, since it is smaller than the sum of its proper divisors (51669792).

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

23180256 is a wasteful number, since it uses less digits than its factorization.

23180256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 23180256 is about 4814.5878328264. The cubic root of 23180256 is about 285.1276990065.

Adding to 23180256 its reverse (65208132), we get a palindrome (88388388).

It can be divided in two parts, 23180 and 256, that added together give a triangular number (23436 = T216).

The spelling of 23180256 in words is "twenty-three million, one hundred eighty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 243 264 271 288 297 324 352 396 432 486 528 542 594 648 792 813 864 891 972 1056 1084 1188 1296 1584 1626 1782 1944 2168 2376 2439 2592 2673 2981 3168 3252 3564 3888 4336 4752 4878 5346 5962 6504 7128 7317 7776 8672 8943 9504 9756 10692 11924 13008 14256 14634 17886 19512 21384 21951 23848 26016 26829 28512 29268 35772 39024 42768 43902 47696 53658 58536 65853 71544 78048 80487 85536 87804 95392 107316 117072 131706 143088 160974 175608 214632 234144 241461 263412 286176 321948 351216 429264 482922 526824 643896 702432 724383 858528 965844 1053648 1287792 1448766 1931688 2107296 2575584 2897532 3863376 5795064 7726752 11590128 23180256