Base | Representation |
---|---|
bin | 101111100110011101… |
… | …1100000000000000000 |
3 | 100202212001110211102000 |
4 | 1133030323200000000 |
5 | 3133322413204230 |
6 | 114543232424000 |
7 | 10246111020222 |
oct | 1371473400000 |
9 | 322761424360 |
10 | 102222397440 |
11 | 3a3969731a9 |
12 | 1798a0a8000 |
13 | 9841083807 |
14 | 4d3a28c412 |
15 | 29d43ccb60 |
hex | 17ccee0000 |
102222397440 has 576 divisors, whose sum is σ = 373711060800. Its totient is φ = 26499612672.
The previous prime is 102222397391. The next prime is 102222397447. The reversal of 102222397440 is 44793222201.
It is a happy number.
102222397440 is a `hidden beast` number, since 1 + 0 + 2 + 222 + 397 + 4 + 40 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
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 = 102222397395 and 102222397404.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (102222397447) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 937820106 + ... + 937820214.
It is an arithmetic number, because the mean of its divisors is an integer number (648803925).
Almost surely, 2102222397440 is an apocalyptic number.
102222397440 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 102222397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186855530400).
102222397440 is an abundant number, since it is smaller than the sum of its proper divisors (271488663360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102222397440 is an frugal number, since it uses more digits than its factorization.
102222397440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 210 (or 172 counting only the distinct ones).
The product of its (nonzero) digits is 48384, while the sum is 36.
The spelling of 102222397440 in words is "one hundred two billion, two hundred twenty-two million, three hundred ninety-seven thousand, four hundred forty".
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