Base | Representation |
---|---|
bin | 1010000001011111001001… |
… | …00010000000000001100110 |
3 | 2220001010110212211112210022 |
4 | 11000233210202000001212 |
5 | 10342111101144022042 |
6 | 114513345535555142 |
7 | 4433301145632500 |
oct | 500574442000146 |
9 | 86033425745708 |
10 | 22041311314022 |
11 | 7028738691560 |
12 | 257b90668bab2 |
13 | c3b643497300 |
14 | 562b3b502d70 |
15 | 283529a22cd2 |
hex | 140be4880066 |
22041311314022 has 144 divisors (see below), whose sum is σ = 45440129200752. Its totient is φ = 7925500477440.
The previous prime is 22041311314003. The next prime is 22041311314079.
It is a happy number.
22041311314022 is nontrivially palindromic in base 10.
It is a Harshad number since it is a multiple of its sum of digits (26).
It is a junction number, because it is equal to n+sod(n) for n = 22041311313982 and 22041311314000.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1871549798 + ... + 1871561574.
It is an arithmetic number, because the mean of its divisors is an integer number (315556452783).
Almost surely, 222041311314022 is an apocalyptic number.
22041311314022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
22041311314022 is an abundant number, since it is smaller than the sum of its proper divisors (23398817886730).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22041311314022 is a wasteful number, since it uses less digits than its factorization.
22041311314022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 22103 (or 22083 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 26.
It can be divided in two parts, 2204131 and 1314022, that added together give a palindrome (3518153).
The spelling of 22041311314022 in words is "twenty-two trillion, forty-one billion, three hundred eleven million, three hundred fourteen thousand, twenty-two".
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