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232861258249 = 211222872
BaseRepresentation
bin1101100011011110011…
…1001101001000001001
3211021001111112120022021
43120313213031020021
512303344440230444
6254550332524441
722552343015434
oct3306747151011
9737044476267
10232861258249
118a835122974
1239168920721
1318c6040c099
14b3b053881b
1560cd388584
hex36379cd209

232861258249 has 9 divisors (see below), whose sum is σ = 234072445581. Its totient is φ = 231656313420.

The previous prime is 232861258219. The next prime is 232861258261. The reversal of 232861258249 is 942852168232.

The square root of 232861258249 is 482557.

It is a perfect power (a square), and thus also a powerful number.

232861258249 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 232861258249 - 29 = 232861257737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 232861258196 and 232861258205.

It is not an unprimeable number, because it can be changed into a prime (232861258219) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 101818384 + ... + 101820670.

It is an arithmetic number, because the mean of its divisors is an integer number (26008049509).

Almost surely, 2232861258249 is an apocalyptic number.

232861258249 is the 482557-th square number.

232861258249 is the 241279-th centered octagonal number.

It is an amenable number.

232861258249 is a deficient number, since it is larger than the sum of its proper divisors (1211187332).

232861258249 is an frugal number, since it uses more digits than its factorization.

232861258249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4996 (or 2498 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 52.

The spelling of 232861258249 in words is "two hundred thirty-two billion, eight hundred sixty-one million, two hundred fifty-eight thousand, two hundred forty-nine".

Divisors: 1 211 2287 44521 482557 5230369 101819527 1103607859 232861258249