Search a number
-
+
252502205252 = 221141832696269
BaseRepresentation
bin1110101100101001001…
…1011110001101000100
3220010202022110001102212
43223022103132031010
513114111031032002
6311555314322552
724146145221543
oct3531223361504
9803668401385
10252502205252
11980a3a04080
1240b2a589458
131aa705b100b
14c314c7815a
15687c82d352
hex3aca4de344

252502205252 has 96 divisors (see below), whose sum is σ = 501694300800. Its totient is φ = 110196454400.

The previous prime is 252502205243. The next prime is 252502205279.

252502205252 is nontrivially palindromic in base 10.

252502205252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40274774 + ... + 40281042.

It is an arithmetic number, because the mean of its divisors is an integer number (5225982300).

Almost surely, 2252502205252 is an apocalyptic number.

252502205252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

252502205252 is a deficient number, since it is larger than the sum of its proper divisors (249192095548).

252502205252 is a wasteful number, since it uses less digits than its factorization.

252502205252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6677 (or 6675 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 32.

It can be divided in two parts, 252502 and 205252, that added together give a palindrome (457754).

The spelling of 252502205252 in words is "two hundred fifty-two billion, five hundred two million, two hundred five thousand, two hundred fifty-two".

Divisors: 1 2 4 11 22 41 44 82 83 164 166 269 332 451 538 902 913 1076 1804 1826 2959 3403 3652 5918 6269 6806 11029 11836 12538 13612 22058 22327 25076 37433 44116 44654 68959 74866 89308 121319 137918 149732 242638 245597 257029 275836 485276 491194 514058 520327 915407 982388 1028116 1040654 1686361 1830814 2081308 2827319 3372722 3661628 5654638 5723597 6745444 10069477 11309276 11447194 18549971 20138954 21333407 22894388 37099942 40277908 42666814 69140801 74199884 85333628 138281602 139967963 234667477 276563204 279935926 469334954 559871852 760548811 938669908 1521097622 1539647593 3042195244 3079295186 5738686483 6158590372 11477372966 22954745932 63125551313 126251102626 252502205252