Base | Representation |
---|---|
bin | 1100111111011111010… |
… | …0101110101000100000 |
3 | 210100010021022001101100 |
4 | 3033313310232220200 |
5 | 12124103442030234 |
6 | 250312010434400 |
7 | 22061063163345 |
oct | 3176764565040 |
9 | 710107261340 |
10 | 223201126944 |
11 | 86728243284 |
12 | 37311732a00 |
13 | 18080c6b563 |
14 | ab355a67cc |
15 | 5c15262399 |
hex | 33f7d2ea20 |
223201126944 has 36 divisors (see below), whose sum is σ = 634728205566. Its totient is φ = 74400375552.
The previous prime is 223201126937. The next prime is 223201126997. The reversal of 223201126944 is 449621102322.
It is a happy number.
223201126944 is a `hidden beast` number, since 22 + 320 + 11 + 269 + 44 = 666.
It can be written as a sum of positive squares in only one way, i.e., 180098384400 + 43102742544 = 424380^2 + 207612^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-3 number, since 3×2232011269443 (a number of 35 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 223201126899 and 223201126908.
It is an unprimeable number.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 387501669 + ... + 387502244.
Almost surely, 2223201126944 is an apocalyptic number.
223201126944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
It is an amenable number.
223201126944 is an abundant number, since it is smaller than the sum of its proper divisors (411527078622).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223201126944 is a wasteful number, since it uses less digits than its factorization.
223201126944 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 775003929 (or 775003918 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The spelling of 223201126944 in words is "two hundred twenty-three billion, two hundred one million, one hundred twenty-six thousand, nine hundred forty-four".
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