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23241168 = 243479227
BaseRepresentation
bin101100010101…
…0000111010000
31121201202220000
41120222013100
521422204133
62150050000
7401355336
oct130520720
947652800
1023241168
1112134485
127949900
134a79792
14312db56
152091413
hex162a1d0

23241168 has 100 divisors (see below), whose sum is σ = 68418240. Its totient is φ = 7615296.

The previous prime is 23241157. The next prime is 23241173. The reversal of 23241168 is 86114232.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102271 + ... + 102497.

Almost surely, 223241168 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 23241168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34209120).

23241168 is an abundant number, since it is smaller than the sum of its proper divisors (45177072).

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

23241168 is a wasteful number, since it uses less digits than its factorization.

23241168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 311 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 23241168 is about 4820.9094577683. The cubic root of 23241168 is about 285.3772290073.

It can be divided in two parts, 23241 and 168, that added together give a square (23409 = 1532).

The spelling of 23241168 in words is "twenty-three million, two hundred forty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 81 108 144 158 162 216 227 237 316 324 432 454 474 632 648 681 711 908 948 1264 1296 1362 1422 1816 1896 2043 2133 2724 2844 3632 3792 4086 4266 5448 5688 6129 6399 8172 8532 10896 11376 12258 12798 16344 17064 17933 18387 24516 25596 32688 34128 35866 36774 49032 51192 53799 71732 73548 98064 102384 107598 143464 147096 161397 215196 286928 294192 322794 430392 484191 645588 860784 968382 1291176 1452573 1936764 2582352 2905146 3873528 5810292 7747056 11620584 23241168