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238363125 = 35471113127
BaseRepresentation
bin11100011010100…
…10000111110101
3121121112002201220
432031102013311
5442010110000
635352540553
75623024140
oct1615220765
9547462656
10238363125
11112605820
12679b1759
133a4c9a90
142392b057
1515dd61a0
hexe3521f5

238363125 has 160 divisors (see below), whose sum is σ = 537427968. Its totient is φ = 90720000.

The previous prime is 238363109. The next prime is 238363141. The reversal of 238363125 is 521363832.

It is an interprime number because it is at equal distance from previous prime (238363109) and next prime (238363141).

It is not a de Polignac number, because 238363125 - 24 = 238363109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1876812 + ... + 1876938.

Almost surely, 2238363125 is an apocalyptic number.

238363125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

238363125 is an abundant number, since it is smaller than the sum of its proper divisors (299064843).

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

238363125 is a wasteful number, since it uses less digits than its factorization.

238363125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 166 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 238363125 is about 15439.0130837434. The cubic root of 238363125 is about 620.0304572273.

It can be divided in two parts, 238 and 363125, that added together give a palindrome (363363).

The spelling of 238363125 in words is "two hundred thirty-eight million, three hundred sixty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 7 11 13 15 21 25 33 35 39 55 65 75 77 91 105 125 127 143 165 175 195 231 273 275 325 375 381 385 429 455 525 625 635 715 825 875 889 975 1001 1155 1365 1375 1397 1625 1651 1875 1905 1925 2145 2275 2625 2667 3003 3175 3575 4125 4191 4375 4445 4875 4953 5005 5775 6825 6875 6985 8125 8255 9525 9625 9779 10725 11375 11557 13125 13335 15015 15875 17875 18161 20625 20955 22225 24375 24765 25025 28875 29337 34125 34671 34925 41275 47625 48125 48895 53625 54483 56875 57785 66675 75075 79375 89375 90805 104775 111125 123825 125125 127127 144375 146685 170625 173355 174625 206375 238125 244475 268125 272415 288925 333375 375375 381381 454025 523875 555625 619125 625625 635635 733425 866775 873125 1031875 1222375 1362075 1444625 1666875 1876875 1906905 2270125 2619375 3095625 3178175 3667125 4333875 6111875 6810375 7223125 9534525 11350625 15890875 18335625 21669375 34051875 47672625 79454375 238363125