Base | Representation |
---|---|
bin | 10001110011001110101… |
… | …011011100000000000000 |
3 | 11022221101120111021000000 |
4 | 101303032223130000000 |
5 | 130020142440033230 |
6 | 2333540424000000 |
7 | 154242661122066 |
oct | 21631653340000 |
9 | 4287346437000 |
10 | 1223238205440 |
11 | 431855093859 |
12 | 1790a4000000 |
13 | 8b473b19c24 |
14 | 432c2902036 |
15 | 21c44d9eb60 |
hex | 11cceadc000 |
1223238205440 has 420 divisors, whose sum is σ = 4401724537224. Its totient is φ = 326180929536.
The previous prime is 1223238205429. The next prime is 1223238205447. The reversal of 1223238205440 is 445028323221.
1223238205440 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 2 + 3 + 8 + 205 + 440 = 666.
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 = 1223238205395 and 1223238205404.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1223238205447) by changing a digit.
It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 59709439 + ... + 59729921.
Almost surely, 21223238205440 is an apocalyptic number.
1223238205440 is a gapful number since it is divisible by the number (10) 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 1223238205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2200862268612).
1223238205440 is an abundant number, since it is smaller than the sum of its proper divisors (3178486331784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1223238205440 is an frugal number, since it uses more digits than its factorization.
1223238205440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 20534 (or 20493 counting only the distinct ones).
The product of its (nonzero) digits is 92160, while the sum is 36.
The spelling of 1223238205440 in words is "one trillion, two hundred twenty-three billion, two hundred thirty-eight million, two hundred five thousand, four hundred forty".
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