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235252252532 = 2211217226912601
BaseRepresentation
bin1101101100011000100…
…0000111111101110100
3211111020010121122212002
43123012020013331310
512323244034040112
6300023504114432
722665525103313
oct3330610077564
9744203548762
10235252252532
1190851844300
1239715605a18
13192518938bb
14b559cd227a
1561bd2311c2
hex36c6207f74

235252252532 has 72 divisors (see below), whose sum is σ = 479388397320. Its totient is φ = 100590336000.

The previous prime is 235252252513. The next prime is 235252252553.

235252252532 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 6963234916 + 228289017616 = 83446^2 + 477796^2 .

It is a super-2 number, since 2×2352522525322 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18663032 + ... + 18675632.

It is an arithmetic number, because the mean of its divisors is an integer number (6658172185).

Almost surely, 2235252252532 is an apocalyptic number.

235252252532 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

235252252532 is an abundant number, since it is smaller than the sum of its proper divisors (244136144788).

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

235252252532 is a wasteful number, since it uses less digits than its factorization.

235252252532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14913 (or 14900 counting only the distinct ones).

The product of its digits is 360000, while the sum is 38.

It can be divided in two parts, 235252 and 252532, that added together give a palindrome (487784).

The spelling of 235252252532 in words is "two hundred thirty-five billion, two hundred fifty-two million, two hundred fifty-two thousand, five hundred thirty-two".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 242 374 484 748 2057 2269 4114 4538 8228 9076 12601 24959 25202 38573 49918 50404 77146 99836 138611 154292 214217 274549 277222 424303 428434 549098 554444 848606 856868 1098196 1524721 1697212 2356387 3049442 4667333 4712774 6098884 9334666 9425548 18669332 25920257 28591669 51840514 57183338 103681028 114366676 314508359 486058373 629016718 972116746 1258033436 1944233492 3459591949 5346642103 6919183898 10693284206 13838367796 21386568412 58813063133 117626126266 235252252532