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238001652 = 223471011039
BaseRepresentation
bin11100010111110…
…01110111110100
3121120211201220000
432023321313310
5441412023102
635341111300
75616660240
oct1613716764
9546751800
10238001652
11112389189
1267858530
133a4013a5
1423875420
1515d6401c
hexe2f9df4

238001652 has 120 divisors (see below), whose sum is σ = 718798080. Its totient is φ = 67262400.

The previous prime is 238001651. The next prime is 238001669. The reversal of 238001652 is 256100832.

238001652 is a `hidden beast` number, since 2 + 3 + 8 + 0 + 0 + 1 + 652 = 666.

238001652 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (238001651) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 228549 + ... + 229587.

It is an arithmetic number, because the mean of its divisors is an integer number (5989984).

Almost surely, 2238001652 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 238001652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359399040).

238001652 is an abundant number, since it is smaller than the sum of its proper divisors (480796428).

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

238001652 is a wasteful number, since it uses less digits than its factorization.

238001652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1152 counting only the distinct ones).

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

The square root of 238001652 is about 15427.3021620762. The cubic root of 238001652 is about 619.7168773222.

It can be divided in two parts, 23800 and 1652, that added together give a palindrome (25452).

The spelling of 238001652 in words is "two hundred thirty-eight million, one thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 101 108 126 162 189 202 252 303 324 378 404 567 606 707 756 909 1039 1134 1212 1414 1818 2078 2121 2268 2727 2828 3117 3636 4156 4242 5454 6234 6363 7273 8181 8484 9351 10908 12468 12726 14546 16362 18702 19089 21819 25452 28053 29092 32724 37404 38178 43638 56106 57267 65457 76356 84159 87276 104939 112212 114534 130914 168318 196371 209878 229068 261828 314817 336636 392742 419756 589113 629634 734573 785484 944451 1178226 1259268 1469146 1888902 2203719 2356452 2833353 2938292 3777804 4407438 5666706 6611157 8500059 8814876 11333412 13222314 17000118 19833471 26444628 34000236 39666942 59500413 79333884 119000826 238001652