Base | Representation |
---|---|
bin | 1010000110011011110101… |
… | …00011100001011100100000 |
3 | 2220122101022220210022011200 |
4 | 11003031322203201130200 |
5 | 10402402301444120000 |
6 | 115123424533441200 |
7 | 4451500341040104 |
oct | 503157243413440 |
9 | 86571286708150 |
10 | 22211332020000 |
11 | 7093855971402 |
12 | 25a88561a0200 |
13 | c5169a7c0c46 |
14 | 56b069c09904 |
15 | 287b7b0ad500 |
hex | 14337a8e1720 |
22211332020000 has 360 divisors, whose sum is σ = 78944961775680. Its totient is φ = 5921830080000.
The previous prime is 22211332019993. The next prime is 22211332020023. The reversal of 22211332020000 is 2023311222.
It is a tau number, because it is divible by the number of its divisors (360).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1236771021 + ... + 1236788979.
It is an arithmetic number, because the mean of its divisors is an integer number (219291560488).
Almost surely, 222211332020000 is an apocalyptic number.
22211332020000 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 22211332020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39472480887840).
22211332020000 is an abundant number, since it is smaller than the sum of its proper divisors (56733629755680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22211332020000 is a wasteful number, since it uses less digits than its factorization.
22211332020000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 24866 (or 24840 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 22211332020000 its reverse (2023311222), we get a palindrome (22213355331222).
The spelling of 22211332020000 in words is "twenty-two trillion, two hundred eleven billion, three hundred thirty-two million, twenty thousand".
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