Search a number
-
+
223301233313000 = 2353223301233313
BaseRepresentation
bin110010110001011101011110…
…101100001000010011101000
31002021122101111212222122210122
4302301131132230020103220
5213232031411212004000
62110531100450302412
765014660504451663
oct6261353654102350
91067571455878718
10223301233313000
11651725808326a7
1221065337287a08
13977a2a658a7cb
143d1dba19dc6da
151ac389e244085
hexcb175eb084e8

223301233313000 has 32 divisors (see below), whose sum is σ = 522524885954760. Its totient is φ = 89320493324800.

The previous prime is 223301233312999. The next prime is 223301233313009. The reversal of 223301233313000 is 313332103322.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 67602895521604 + 155698337791396 = 8222098^2 + 12477914^2 .

It is not an unprimeable number, because it can be changed into a prime (223301233313009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111650615657 + ... + 111650617656.

Almost surely, 2223301233313000 is an apocalyptic number.

223301233313000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223301233313000 is an abundant number, since it is smaller than the sum of its proper divisors (299223652641760).

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

223301233313000 is a wasteful number, since it uses less digits than its factorization.

223301233313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223301233334 (or 223301233320 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 223301233313000 its reverse (313332103322), we get a palindrome (223614565416322).

The spelling of 223301233313000 in words is "two hundred twenty-three trillion, three hundred one billion, two hundred thirty-three million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 223301233313 446602466626 893204933252 1116506166565 1786409866504 2233012333130 4466024666260 5582530832825 8932049332520 11165061665650 22330123331300 27912654164125 44660246662600 55825308328250 111650616656500 223301233313000