Base | Representation |
---|---|
bin | 100000010110101101110… |
… | …100100111010110000000 |
3 | 21212120000120100101211212 |
4 | 200112231310213112000 |
5 | 242412023032434130 |
6 | 4421231125425252 |
7 | 316431165041612 |
oct | 40265564472600 |
9 | 7776016311755 |
10 | 2223414343040 |
11 | 787a43483510 |
12 | 2baab4b6b228 |
13 | 1318897365a7 |
14 | 798844b8db2 |
15 | 3cc81d09e95 |
hex | 205add27580 |
2223414343040 has 128 divisors (see below), whose sum is σ = 5799334717440. Its totient is φ = 808406784000.
The previous prime is 2223414342979. The next prime is 2223414343049. The reversal of 2223414343040 is 403434143222.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a junction number, because it is equal to n+sod(n) for n = 2223414342988 and 2223414343006.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2223414343049) 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, 69053345 + ... + 69085535.
It is an arithmetic number, because the mean of its divisors is an integer number (45307302480).
Almost surely, 22223414343040 is an apocalyptic number.
2223414343040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2223414343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899667358720).
2223414343040 is an abundant number, since it is smaller than the sum of its proper divisors (3575920374400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2223414343040 is a wasteful number, since it uses less digits than its factorization.
2223414343040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 42032 (or 42020 counting only the distinct ones).
The product of its (nonzero) digits is 55296, while the sum is 32.
Adding to 2223414343040 its reverse (403434143222), we get a palindrome (2626848486262).
The spelling of 2223414343040 in words is "two trillion, two hundred twenty-three billion, four hundred fourteen million, three hundred forty-three thousand, forty".
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