Base | Representation |
---|---|
bin | 110000000000000101100011… |
… | …1101001000001111001010000 |
3 | 2001100222020222201002020221211 |
4 | 1200000023013221001321100 |
5 | 420320211040013002344 |
6 | 4053555114051425504 |
7 | 154635464230410325 |
oct | 14000130751017120 |
9 | 2040866881066854 |
10 | 422224404422224 |
11 | 112596400a242a8 |
12 | 3b431b028b5294 |
13 | 1517978a410731 |
14 | 7639aad668b4c |
15 | 33c305bb91334 |
hex | 18002c7a41e50 |
422224404422224 has 40 divisors (see below), whose sum is σ = 846270536011560. Its totient is φ = 203832038903808.
The previous prime is 422224404422221. The next prime is 422224404422231.
422224404422224 is nontrivially palindromic in base 10.
It can be written as a sum of positive squares in 4 ways, for example, as 139943410933824 + 282280993488400 = 11829768^2 + 16801220^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (422224404422221) 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 7 ways as a sum of consecutive naturals, for example, 380275044 + ... + 381383740.
It is an arithmetic number, because the mean of its divisors is an integer number (21156763400289).
Almost surely, 2422224404422224 is an apocalyptic number.
It is an amenable number.
422224404422224 is an abundant number, since it is smaller than the sum of its proper divisors (424046131589336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
422224404422224 is a wasteful number, since it uses less digits than its factorization.
422224404422224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1929487 (or 1929481 counting only the distinct ones).
The product of its (nonzero) digits is 1048576, while the sum is 40.
It can be divided in two parts, 42222440 and 4422224, that added together give a palindrome (46644664).
The spelling of 422224404422224 in words is "four hundred twenty-two trillion, two hundred twenty-four billion, four hundred four million, four hundred twenty-two thousand, two hundred twenty-four".
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