Search a number
-
+
223243008768 = 2834131734787
BaseRepresentation
bin1100111111101001010…
…0011111101100000000
3210100020012002212110000
43033322110133230000
512124200202240033
6250320104240000
722062112156653
oct3177224375400
9710205085400
10223243008768
118674994975a
1237323770000
13180898437c0
14ab3ad8989a
155c18c86a13
hex33fa51fb00

223243008768 has 360 divisors, whose sum is σ = 721170073008. Its totient is φ = 68278837248.

The previous prime is 223243008767. The next prime is 223243008827. The reversal of 223243008768 is 867800342322.

It is a super-3 number, since 3×2232430087683 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223243008763) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46632871 + ... + 46637657.

Almost surely, 2223243008768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223243008768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360585036504).

223243008768 is an abundant number, since it is smaller than the sum of its proper divisors (497927064240).

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

223243008768 is a wasteful number, since it uses less digits than its factorization.

223243008768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5001 (or 4978 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 223243008768 in words is "two hundred twenty-three billion, two hundred forty-three million, eight thousand, seven hundred sixty-eight".