Search a number
-
+
230213344320 = 26335231158481
BaseRepresentation
bin1101011001100111001…
…0001101110001000000
3211000012222000121021000
43112121302031301000
512232434104004240
6253431502532000
722426621065651
oct3263162156100
9730188017230
10230213344320
11896a6481a53
1238749b97000
131892a9613cb
14b1dc9c3528
155ec5b91430
hex3599c8dc40

230213344320 has 224 divisors, whose sum is σ = 847452752640. Its totient is φ = 58721034240.

The previous prime is 230213344289. The next prime is 230213344321. The reversal of 230213344320 is 23443312032.

230213344320 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 1 + 334 + 4 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (230213344321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380521 + ... + 777960.

Almost surely, 2230213344320 is an apocalyptic number.

230213344320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230213344320 is an abundant number, since it is smaller than the sum of its proper divisors (617239408320).

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

230213344320 is a wasteful number, since it uses less digits than its factorization.

230213344320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158530 (or 1158514 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 230213344320 its reverse (23443312032), we get a palindrome (253656656352).

The spelling of 230213344320 in words is "two hundred thirty billion, two hundred thirteen million, three hundred forty-four thousand, three hundred twenty".