Base | Representation |
---|---|
bin | 10100101101101110… |
… | …111011011010110000 |
3 | 2010102002110102100101 |
4 | 110231232323122300 |
5 | 331022440110300 |
6 | 14115021402144 |
7 | 1415115562036 |
oct | 245556733260 |
9 | 63362412311 |
10 | 22242113200 |
11 | 948410293a |
12 | 4388a09354 |
13 | 2136062938 |
14 | 110dda6556 |
15 | 8a2a05b6a |
hex | 52dbbb6b0 |
22242113200 has 240 divisors, whose sum is σ = 59901451776. Its totient is φ = 7892684800.
The previous prime is 22242113147. The next prime is 22242113233. The reversal of 22242113200 is 231124222.
It is a super-2 number, since 2×222421132002 (a number of 21 digits) contains 22 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11103399 + ... + 11105401.
Almost surely, 222242113200 is an apocalyptic number.
22242113200 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 22242113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29950725888).
22242113200 is an abundant number, since it is smaller than the sum of its proper divisors (37659338576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22242113200 is a wasteful number, since it uses less digits than its factorization.
22242113200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2132 (or 2121 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 19.
Adding to 22242113200 its reverse (231124222), we get a palindrome (22473237422).
The spelling of 22242113200 in words is "twenty-two billion, two hundred forty-two million, one hundred thirteen thousand, two hundred".
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