Base | Representation |
---|---|
bin | 1100111111001001111… |
… | …0000010010001000000 |
3 | 210022220000020221222000 |
4 | 3033302132002101000 |
5 | 12123412442320333 |
6 | 250255041144000 |
7 | 22055622455655 |
oct | 3176236022100 |
9 | 708800227860 |
10 | 223111291968 |
11 | 866915649a4 |
12 | 372a762b000 |
13 | 18068476776 |
14 | ab2769dc2c |
15 | 5c0c419713 |
hex | 33f2782440 |
223111291968 has 112 divisors (see below), whose sum is σ = 659015517120. Its totient is φ = 74017843200.
The previous prime is 223111291967. The next prime is 223111291979. The reversal of 223111291968 is 869192111322.
223111291968 is a `hidden beast` number, since 22 + 311 + 129 + 196 + 8 = 666.
It is a super-3 number, since 3×2231112919683 (a number of 35 digits) contains 333 as substring.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (223111291967) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58648 + ... + 670568.
Almost surely, 2223111291968 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 223111291968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329507758560).
223111291968 is an abundant number, since it is smaller than the sum of its proper divisors (435904225152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223111291968 is a wasteful number, since it uses less digits than its factorization.
223111291968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 612153 (or 612137 counting only the distinct ones).
The product of its digits is 93312, while the sum is 45.
The spelling of 223111291968 in words is "two hundred twenty-three billion, one hundred eleven million, two hundred ninety-one thousand, nine hundred sixty-eight".
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