Base | Representation |
---|---|
bin | 1110100100011… |
… | …11101100101000 |
3 | 22111222120222121 |
4 | 13102033230220 |
5 | 222242122100 |
6 | 20043401024 |
7 | 3012611305 |
oct | 722175450 |
9 | 274876877 |
10 | 122223400 |
11 | 62aa0282 |
12 | 34b23174 |
13 | 1c424c50 |
14 | 123380ac |
15 | aae451a |
hex | 748fb28 |
122223400 has 96 divisors (see below), whose sum is σ = 316776600. Its totient is φ = 43545600.
The previous prime is 122223347. The next prime is 122223427. The reversal of 122223400 is 4322221.
It can be written as a sum of positive squares in 12 ways, for example, as 5280804 + 116942596 = 2298^2 + 10814^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74590 + ... + 76210.
Almost surely, 2122223400 is an apocalyptic number.
122223400 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 122223400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158388300).
122223400 is an abundant number, since it is smaller than the sum of its proper divisors (194553200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122223400 is a wasteful number, since it uses less digits than its factorization.
122223400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1679 (or 1670 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 16.
The square root of 122223400 is about 11055.4692347272. The cubic root of 122223400 is about 496.2701117208.
Adding to 122223400 its reverse (4322221), we get a palindrome (126545621).
The spelling of 122223400 in words is "one hundred twenty-two million, two hundred twenty-three thousand, four hundred".
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