Search a number
-
+
253341000225306 = 232721445391987247
BaseRepresentation
bin111001100110100110001100…
…010100110101001000011010
31020020000011101220010212120200
4321212212030110311020122
5231201214332024202211
62254451125424403030
7104235166104266100
oct7146461424651032
91206004356125520
10253341000225306
11737a435104a534
12244b7224476476
13ab48c526ab7a6
14467baac5ddc70
151e44eaa311b56
hexe6698c53521a

253341000225306 has 72 divisors (see below), whose sum is σ = 638527464020160. Its totient is φ = 72382605711696.

The previous prime is 253341000225301. The next prime is 253341000225311. The reversal of 253341000225306 is 603522000143352.

253341000225306 is a `hidden beast` number, since 2 + 5 + 3 + 341 + 0 + 0 + 0 + 2 + 2 + 5 + 306 = 666.

It is an interprime number because it is at equal distance from previous prime (253341000225301) and next prime (253341000225311).

It is not an unprimeable number, because it can be changed into a prime (253341000225301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 126489775 + ... + 128477021.

It is an arithmetic number, because the mean of its divisors is an integer number (8868437000280).

Almost surely, 2253341000225306 is an apocalyptic number.

253341000225306 is an abundant number, since it is smaller than the sum of its proper divisors (385186463794854).

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

253341000225306 is a wasteful number, since it uses less digits than its factorization.

253341000225306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131808 (or 2131798 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 253341000225306 its reverse (603522000143352), we get a palindrome (856863000368658).

The spelling of 253341000225306 in words is "two hundred fifty-three trillion, three hundred forty-one billion, two hundred twenty-five thousand, three hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 144539 289078 433617 867234 1011773 1300851 1987247 2023546 2601702 3035319 3974494 5961741 6070638 7082411 9105957 11923482 13910729 14164822 17885223 18211914 21247233 27821458 35770446 41732187 42494466 63741699 83464374 97375103 125196561 127483398 194750206 250393122 292125309 584250618 876375927 1752751854 287234694133 574469388266 861704082399 1723408164798 2010642858931 2585112247197 4021285717862 5170224494394 6031928576793 12063857153586 14074500012517 18095785730379 28149000025034 36191571460758 42223500037551 84447000075102 126670500112653 253341000225306