Base | Representation |
---|---|
bin | 100000010110011101100… |
… | …101110111101100100000 |
3 | 21212112022120222002120222 |
4 | 200112131211313230200 |
5 | 242410443330324100 |
6 | 4421144121222212 |
7 | 316421350366316 |
oct | 40263545675440 |
9 | 7775276862528 |
10 | 2223142042400 |
11 | 7879137a8a64 |
12 | 2baa39931968 |
13 | 1318451b6556 |
14 | 7985a2760b6 |
15 | 3cc67e6d485 |
hex | 2059d977b20 |
2223142042400 has 216 divisors, whose sum is σ = 5533343593344. Its totient is φ = 872199360000.
The previous prime is 2223142042327. The next prime is 2223142042411. The reversal of 2223142042400 is 42402413222.
It is a self number, because there is not a number n which added to its sum of digits gives 2223142042400.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2091384269 + ... + 2091385331.
Almost surely, 22223142042400 is an apocalyptic number.
2223142042400 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 2223142042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766671796672).
2223142042400 is an abundant number, since it is smaller than the sum of its proper divisors (3310201550944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2223142042400 is a wasteful number, since it uses less digits than its factorization.
2223142042400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1952 (or 1880 counting only the distinct ones).
The product of its (nonzero) digits is 6144, while the sum is 26.
Adding to 2223142042400 its reverse (42402413222), we get a palindrome (2265544455622).
The spelling of 2223142042400 in words is "two trillion, two hundred twenty-three billion, one hundred forty-two million, forty-two thousand, four hundred".
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