Base | Representation |
---|---|
bin | 1010000110101100000100… |
… | …10111111011011110100100 |
3 | 2220200012211201002202110000 |
4 | 11003112002113323132210 |
5 | 10403023132100230340 |
6 | 115131430153301300 |
7 | 4452226426215135 |
oct | 503260227733644 |
9 | 86605751082400 |
10 | 22220053133220 |
11 | 7097520799898 |
12 | 25aa48aa04830 |
13 | c5245a556477 |
14 | 56b656185c8c |
15 | 287edba4bd30 |
hex | 1435825fb7a4 |
22220053133220 has 120 divisors (see below), whose sum is σ = 69744766291200. Its totient is φ = 5921978154048.
The previous prime is 22220053133207. The next prime is 22220053133263. The reversal of 22220053133220 is 2233135002222.
22220053133220 is a `hidden beast` number, since 2 + 2 + 2 + 20 + 0 + 5 + 313 + 322 + 0 = 666.
It is a super-2 number, since 2×222200531332202 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1049250 + ... + 6748409.
It is an arithmetic number, because the mean of its divisors is an integer number (581206385760).
Almost surely, 222220053133220 is an apocalyptic number.
22220053133220 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 22220053133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34872383145600).
22220053133220 is an abundant number, since it is smaller than the sum of its proper divisors (47524713157980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22220053133220 is a wasteful number, since it uses less digits than its factorization.
22220053133220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7799439 (or 7799428 counting only the distinct ones).
The product of its (nonzero) digits is 8640, while the sum is 27.
Adding to 22220053133220 its reverse (2233135002222), we get a palindrome (24453188135442).
The spelling of 22220053133220 in words is "twenty-two trillion, two hundred twenty billion, fifty-three million, one hundred thirty-three thousand, two hundred twenty".
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