Search a number
-
+
248205232804 = 22172146532
BaseRepresentation
bin1110011100101000101…
…1110100101010100100
3212201122211221020101011
43213022023310222210
513031311014422204
6310005055312004
723634520445224
oct3471213645244
9781584836334
10248205232804
1196299424081
124012b51b604
131a5372b1879
14c0282dc084
1566ca496304
hex39ca2f4aa4

248205232804 has 27 divisors (see below), whose sum is σ = 461444160387. Its totient is φ = 116794491264.

The previous prime is 248205232777. The next prime is 248205232837. The reversal of 248205232804 is 408232502842.

The square root of 248205232804 is 498202.

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

248205232804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 86376034404 + 161829198400 = 293898^2 + 402280^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 16931542 + ... + 16946194.

Almost surely, 2248205232804 is an apocalyptic number.

248205232804 is the 498202-nd square number.

It is an amenable number.

248205232804 is a deficient number, since it is larger than the sum of its proper divisors (213238927583).

248205232804 is an frugal number, since it uses more digits than its factorization.

248205232804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29344 (or 14672 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 40.

The spelling of 248205232804 in words is "two hundred forty-eight billion, two hundred five million, two hundred thirty-two thousand, eight hundred four".

Divisors: 1 2 4 17 34 68 289 578 1156 14653 29306 58612 249101 498202 996404 4234717 8469434 16938868 214710409 429420818 858841636 3650076953 7300153906 14600307812 62051308201 124102616402 248205232804