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238270725 = 325271117809
BaseRepresentation
bin11100011001110…
…11100100000101
3121121100101222200
432030323210011
5441444130400
635350545113
75622160560
oct1614734405
9547311880
10238270725
11112552360
1267968199
133a4969c4
14239054d7
1515db8b00
hexe33b905

238270725 has 144 divisors (see below), whose sum is σ = 564071040. Its totient is φ = 93081600.

The previous prime is 238270709. The next prime is 238270727. The reversal of 238270725 is 527072832.

It is a happy number.

238270725 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 238270725 - 24 = 238270709 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 238270725.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238270727) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 294121 + ... + 294929.

It is an arithmetic number, because the mean of its divisors is an integer number (3917160).

Almost surely, 2238270725 is an apocalyptic number.

238270725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

238270725 is an abundant number, since it is smaller than the sum of its proper divisors (325800315).

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

238270725 is a wasteful number, since it uses less digits than its factorization.

238270725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 238270725 is about 15436.0203744359. The cubic root of 238270725 is about 619.9503298745.

The spelling of 238270725 in words is "two hundred thirty-eight million, two hundred seventy thousand, seven hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 17 21 25 33 35 45 51 55 63 75 77 85 99 105 119 153 165 175 187 225 231 255 275 315 357 385 425 495 525 561 595 693 765 809 825 935 1071 1155 1275 1309 1575 1683 1785 1925 2427 2475 2805 2975 3465 3825 3927 4045 4675 5355 5663 5775 6545 7281 8415 8899 8925 11781 12135 13753 14025 16989 17325 19635 20225 26697 26775 28315 32725 36405 41259 42075 44495 50967 58905 60675 62293 68765 80091 84945 96271 98175 123777 133485 141575 151283 182025 186879 206295 222475 254835 288813 294525 311465 343825 400455 424725 453849 481355 560637 618885 667425 756415 866439 934395 1031475 1058981 1274175 1361547 1444065 1557325 2002275 2269245 2406775 2803185 3094425 3176943 3782075 4332195 4671975 5294905 6807735 7220325 9530829 11346225 14015925 15884715 21660975 26474525 34038675 47654145 79423575 238270725