Base | Representation |
---|---|
bin | 1010000100101100011011… |
… | …00111101101000101010000 |
3 | 2220102122221200022211000210 |
4 | 11002112031213231011100 |
5 | 10400412304204404300 |
6 | 115040134024444120 |
7 | 4444252242125520 |
oct | 502261547550520 |
9 | 86378850284023 |
10 | 22151522341200 |
11 | 707045396649a |
12 | 2599144019640 |
13 | c48b5860c765 |
14 | 5681d4739680 |
15 | 28632a402050 |
hex | 14258d9ed150 |
22151522341200 has 240 divisors, whose sum is σ = 81111686404736. Its totient is φ = 5062205030400.
The previous prime is 22151522341199. The next prime is 22151522341211. The reversal of 22151522341200 is 214322515122.
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a congruent number.
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, 42691320 + ... + 43207080.
Almost surely, 222151522341200 is an apocalyptic number.
22151522341200 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 22151522341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40555843202368).
22151522341200 is an abundant number, since it is smaller than the sum of its proper divisors (58960164063536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22151522341200 is a wasteful number, since it uses less digits than its factorization.
22151522341200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 520902 (or 520891 counting only the distinct ones).
The product of its (nonzero) digits is 9600, while the sum is 30.
Adding to 22151522341200 its reverse (214322515122), we get a palindrome (22365844856322).
The spelling of 22151522341200 in words is "twenty-two trillion, one hundred fifty-one billion, five hundred twenty-two million, three hundred forty-one thousand, two hundred".
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