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238831140 = 223519383547
BaseRepresentation
bin11100011110001…
…00011000100100
3121122101212201210
432033010120210
5442120044030
635410551420
75630013462
oct1617043044
9548355653
10238831140
111128a5409
1267b98570
133a631b02
1423a0d832
1515e79bb0
hexe3c4624

238831140 has 96 divisors (see below), whose sum is σ = 707051520. Its totient is φ = 60068736.

The previous prime is 238831139. The next prime is 238831157. The reversal of 238831140 is 41138832.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 238831098 and 238831107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436347 + ... + 436893.

It is an arithmetic number, because the mean of its divisors is an integer number (7365120).

Almost surely, 2238831140 is an apocalyptic number.

238831140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238831140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353525760).

238831140 is an abundant number, since it is smaller than the sum of its proper divisors (468220380).

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

238831140 is a wasteful number, since it uses less digits than its factorization.

238831140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 238831140 is about 15454.1625460586. The cubic root of 238831140 is about 620.4359923266.

Adding to 238831140 its reverse (41138832), we get a palindrome (279969972).

The spelling of 238831140 in words is "two hundred thirty-eight million, eight hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 383 547 570 766 1094 1140 1149 1532 1641 1915 2188 2298 2735 3282 3830 4596 5470 5745 6564 7277 7660 8205 10393 10940 11490 14554 16410 20786 21831 22980 29108 31179 32820 36385 41572 43662 51965 62358 72770 87324 103930 109155 124716 145540 155895 207860 209501 218310 311790 419002 436620 623580 628503 838004 1047505 1257006 2095010 2514012 3142515 3980519 4190020 6285030 7961038 11941557 12570060 15922076 19902595 23883114 39805190 47766228 59707785 79610380 119415570 238831140