Base | Representation |
---|---|
bin | 1110100100011… |
… | …01111111100100 |
3 | 22111222020102002 |
4 | 13102031333210 |
5 | 222241411140 |
6 | 20043304432 |
7 | 3012552044 |
oct | 722157744 |
9 | 274866362 |
10 | 122216420 |
11 | 62a96007 |
12 | 34b1b118 |
13 | 1c421a11 |
14 | 12335724 |
15 | aae2415 |
hex | 748dfe4 |
122216420 has 24 divisors (see below), whose sum is σ = 257430264. Its totient is φ = 48738816.
The previous prime is 122216407. The next prime is 122216431. The reversal of 122216420 is 24612221.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 3013696 + 119202724 = 1736^2 + 10918^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 122216392 and 122216401.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2327 + ... + 15806.
It is an arithmetic number, because the mean of its divisors is an integer number (10726261).
Almost surely, 2122216420 is an apocalyptic number.
122216420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
122216420 is an abundant number, since it is smaller than the sum of its proper divisors (135213844).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122216420 is a wasteful number, since it uses less digits than its factorization.
122216420 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 18479 (or 18477 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 20.
The square root of 122216420 is about 11055.1535493633. The cubic root of 122216420 is about 496.2606644537.
Adding to 122216420 its reverse (24612221), we get a palindrome (146828641).
The spelling of 122216420 in words is "one hundred twenty-two million, two hundred sixteen thousand, four hundred twenty".
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