Base | Representation |
---|---|
bin | 1001001100100110111101… |
… | …10100111010011001011010 |
3 | 2122121102211022021111221100 |
4 | 10212103132310322121122 |
5 | 10122324130234122302 |
6 | 111002552001252230 |
7 | 4155111405220140 |
oct | 446233664723132 |
9 | 78542738244840 |
10 | 20224444442202 |
11 | 6498158701490 |
12 | 2327771634076 |
13 | b39206a012a0 |
14 | 4dcc229cb590 |
15 | 25113e33cd1c |
hex | 1264ded3a65a |
20224444442202 has 768 divisors, whose sum is σ = 62802184273920. Its totient is φ = 4533880780800.
The previous prime is 20224444442197. The next prime is 20224444442203.
20224444442202 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 4 + 4 + 4 + 4 + 442 + 202 = 666.
20224444442202 is nontrivially palindromic in base 10.
It is not an unprimeable number, because it can be changed into a prime (20224444442203) by changing a digit.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4311326677 + ... + 4311331367.
It is an arithmetic number, because the mean of its divisors is an integer number (81773677440).
Almost surely, 220224444442202 is an apocalyptic number.
20224444442202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 20224444442202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31401092136960).
20224444442202 is an abundant number, since it is smaller than the sum of its proper divisors (42577739831718).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20224444442202 is a wasteful number, since it uses less digits than its factorization.
20224444442202 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5019 (or 5016 counting only the distinct ones).
The product of its (nonzero) digits is 262144, while the sum is 36.
It can be divided in two parts, 2022444 and 4442202, that added together give a palindrome (6464646).
The spelling of 20224444442202 in words is "twenty trillion, two hundred twenty-four billion, four hundred forty-four million, four hundred forty-two thousand, two hundred two".
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