Base | Representation |
---|---|
bin | 111101011100010001001… |
… | …000111111100101010000 |
3 | 112221122100012020220012012 |
4 | 331130101020333211100 |
5 | 1023134122022002344 |
6 | 12551400453322052 |
7 | 614022024300206 |
oct | 75342110774520 |
9 | 15848305226165 |
10 | 4222240422224 |
11 | 1388707710200 |
12 | 58236b936328 |
13 | 248203a07956 |
14 | 1085010a7076 |
15 | 74c6bbee29e |
hex | 3d71123f950 |
4222240422224 has 60 divisors (see below), whose sum is σ = 8995647158400. Its totient is φ = 1918398081600.
The previous prime is 4222240422199. The next prime is 4222240422263.
4222240422224 is nontrivially palindromic in base 10.
4222240422224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4189919 + ... + 5099009.
It is an arithmetic number, because the mean of its divisors is an integer number (149927452640).
Almost surely, 24222240422224 is an apocalyptic number.
4222240422224 is a gapful number since it is divisible by the number (44) 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 4222240422224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4497823579200).
4222240422224 is an abundant number, since it is smaller than the sum of its proper divisors (4773406736176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4222240422224 is a wasteful number, since it uses less digits than its factorization.
4222240422224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 911520 (or 911503 counting only the distinct ones).
The product of its (nonzero) digits is 65536, while the sum is 32.
It can be divided in two parts, 4222240 and 422224, that added together give a palindrome (4644464).
The spelling of 4222240422224 in words is "four trillion, two hundred twenty-two billion, two hundred forty million, four hundred twenty-two thousand, two hundred twenty-four".
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