Base | Representation |
---|---|
bin | 10100100110101000… |
… | …010001001000110000 |
3 | 2010002210012010010100 |
4 | 110212220101020300 |
5 | 330301432123030 |
6 | 14055123032400 |
7 | 1412140526253 |
oct | 244650211060 |
9 | 63083163110 |
10 | 22122926640 |
11 | 94228a7251 |
12 | 4354b0b700 |
13 | 2117462049 |
14 | 10dc21d09a |
15 | 897311360 |
hex | 526a11230 |
22122926640 has 240 divisors, whose sum is σ = 78613048800. Its totient is φ = 5559902208.
The previous prime is 22122926633. The next prime is 22122926663. The reversal of 22122926640 is 4662922122.
It is a happy number.
22122926640 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 2 + 9 + 2 + 6 + 640 = 666.
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 (36).
It is a junction number, because it is equal to n+sod(n) for n = 22122926595 and 22122926604.
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, 2690856 + ... + 2699064.
It is an arithmetic number, because the mean of its divisors is an integer number (327554370).
Almost surely, 222122926640 is an apocalyptic number.
22122926640 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 22122926640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39306524400).
22122926640 is an abundant number, since it is smaller than the sum of its proper divisors (56490122160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22122926640 is a wasteful number, since it uses less digits than its factorization.
22122926640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8444 (or 8435 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The spelling of 22122926640 in words is "twenty-two billion, one hundred twenty-two million, nine hundred twenty-six thousand, six hundred forty".
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