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235506245 = 513291011237
BaseRepresentation
bin11100000100110…
…00101001000101
3121102010221211112
432002120221011
5440242144440
635211414405
75556525062
oct1602305105
9542127745
10235506245
11110a34367
1266a54405
1339a39610
14233c5c69
1515a1e965
hexe098a45

235506245 has 32 divisors (see below), whose sum is σ = 318215520. Its totient is φ = 166118400.

The previous prime is 235506241. The next prime is 235506259. The reversal of 235506245 is 542605532.

It can be written as a sum of positive squares in 16 ways, for example, as 11195716 + 224310529 = 3346^2 + 14977^2 .

It is not a de Polignac number, because 235506245 - 22 = 235506241 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235506241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189767 + ... + 191003.

It is an arithmetic number, because the mean of its divisors is an integer number (9944235).

Almost surely, 2235506245 is an apocalyptic number.

It is an amenable number.

235506245 is a deficient number, since it is larger than the sum of its proper divisors (82709275).

235506245 is a wasteful number, since it uses less digits than its factorization.

235506245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385.

The product of its (nonzero) digits is 36000, while the sum is 32.

The square root of 235506245 is about 15346.2127249690. The cubic root of 235506245 is about 617.5433878172.

The spelling of 235506245 in words is "two hundred thirty-five million, five hundred six thousand, two hundred forty-five".

Divisors: 1 5 13 29 65 101 145 377 505 1237 1313 1885 2929 6185 6565 14645 16081 35873 38077 80405 124937 179365 190385 466349 624685 1624181 2331745 3623173 8120905 18115865 47101249 235506245