Base | Representation |
---|---|
bin | 1010000000111111101001… |
… | …00100110000010101000000 |
3 | 2212222111211100100101112211 |
4 | 11000133310210300111000 |
5 | 10341321433023234212 |
6 | 114501511524431504 |
7 | 4432132115151364 |
oct | 500376444602500 |
9 | 85874740311484 |
10 | 22024400602432 |
11 | 702154aa68658 |
12 | 2578587248594 |
13 | c39b79b36ca7 |
14 | 561db56272a4 |
15 | 282d8a0d69a7 |
hex | 1407f4930540 |
22024400602432 has 112 divisors (see below), whose sum is σ = 45230569846528. Its totient is φ = 10632442060800.
The previous prime is 22024400602411. The next prime is 22024400602433. The reversal of 22024400602432 is 23420600442022.
It is a junction number, because it is equal to n+sod(n) for n = 22024400602394 and 22024400602403.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22024400602433) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345736408 + ... + 345800104.
Almost surely, 222024400602432 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22024400602432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22615284923264).
22024400602432 is an abundant number, since it is smaller than the sum of its proper divisors (23206169244096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22024400602432 is a wasteful number, since it uses less digits than its factorization.
22024400602432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 64864 (or 64854 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 31.
The spelling of 22024400602432 in words is "twenty-two trillion, twenty-four billion, four hundred million, six hundred two thousand, four hundred thirty-two".
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