Base | Representation |
---|---|
bin | 10100110100100000… |
… | …111011011010000000 |
3 | 2010201000112120001200 |
4 | 110310200323122000 |
5 | 331241101234043 |
6 | 14134204101200 |
7 | 1420666606230 |
oct | 246440733200 |
9 | 63630476050 |
10 | 22355883648 |
11 | 953234a2aa |
12 | 43bab34800 |
13 | 21537b8227 |
14 | 112113dcc0 |
15 | 8ac9ca7d3 |
hex | 53483b680 |
22355883648 has 192 divisors, whose sum is σ = 73609972800. Its totient is φ = 6379720704.
The previous prime is 22355883637. The next prime is 22355883691. The reversal of 22355883648 is 84638855322.
It is a happy number.
22355883648 is a `hidden beast` number, since 2 + 2 + 3 + 558 + 83 + 6 + 4 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (192).
It is a junction number, because it is equal to n+sod(n) for n = 22355883594 and 22355883603.
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, 12974115 + ... + 12975837.
It is an arithmetic number, because the mean of its divisors is an integer number (383385275).
Almost surely, 222355883648 is an apocalyptic number.
22355883648 is a gapful number since it is divisible by the number (28) 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 22355883648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36804986400).
22355883648 is an abundant number, since it is smaller than the sum of its proper divisors (51254089152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22355883648 is a wasteful number, since it uses less digits than its factorization.
22355883648 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3359 (or 3344 counting only the distinct ones).
The product of its digits is 11059200, while the sum is 54.
The spelling of 22355883648 in words is "twenty-two billion, three hundred fifty-five million, eight hundred eighty-three thousand, six hundred forty-eight".
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