Base | Representation |
---|---|
bin | 1101000000000001101… |
… | …1100010111000010000 |
3 | 210100111022222222121122 |
4 | 3100000123202320100 |
5 | 12124402423121034 |
6 | 250334205341412 |
7 | 22064465411645 |
oct | 3200033427020 |
9 | 710438888548 |
10 | 223345520144 |
11 | 867a17a5aaa |
12 | 37351b67868 |
13 | 180a4b56416 |
14 | ab4a831dcc |
15 | 5c22c8562e |
hex | 34006e2e10 |
223345520144 has 80 divisors (see below), whose sum is σ = 458588952000. Its totient is φ = 105080947200.
The previous prime is 223345520131. The next prime is 223345520159. The reversal of 223345520144 is 441025543322.
It is a happy number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60345494 + ... + 60349194.
It is an arithmetic number, because the mean of its divisors is an integer number (5732361900).
Almost surely, 2223345520144 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 223345520144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229294476000).
223345520144 is an abundant number, since it is smaller than the sum of its proper divisors (235243431856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223345520144 is a wasteful number, since it uses less digits than its factorization.
223345520144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5016 (or 5010 counting only the distinct ones).
The product of its (nonzero) digits is 115200, while the sum is 35.
The spelling of 223345520144 in words is "two hundred twenty-three billion, three hundred forty-five million, five hundred twenty thousand, one hundred forty-four".
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