Base | Representation |
---|---|
bin | 111101011100001001010… |
… | …111111001100111100000 |
3 | 112221122000010001110110220 |
4 | 331130021113321213200 |
5 | 1023133340142042344 |
6 | 12551335520323040 |
7 | 614015552545524 |
oct | 75341127714740 |
9 | 15848003043426 |
10 | 4222110112224 |
11 | 13886500a7394 |
12 | 582334173480 |
13 | 2481b2a11044 |
14 | 1084cba65d84 |
15 | 74c6055dc19 |
hex | 3d7095f99e0 |
4222110112224 has 48 divisors (see below), whose sum is σ = 11666356894080. Its totient is φ = 1333297929600.
The previous prime is 4222110112163. The next prime is 4222110112277.
4222110112224 is nontrivially palindromic in base 10.
It is a tau number, because it is divible by the number of its divisors (48).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 4222110112194 and 4222110112203.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1157374852 + ... + 1157378499.
It is an arithmetic number, because the mean of its divisors is an integer number (243049101960).
Almost surely, 24222110112224 is an apocalyptic number.
It is an amenable number.
4222110112224 is an abundant number, since it is smaller than the sum of its proper divisors (7444246781856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4222110112224 is a wasteful number, since it uses less digits than its factorization.
4222110112224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2314753383 (or 2314753375 counting only the distinct ones).
The product of its (nonzero) digits is 1024, while the sum is 24.
It can be divided in two parts, 4222110 and 112224, that added together give a palindrome (4334334).
The spelling of 4222110112224 in words is "four trillion, two hundred twenty-two billion, one hundred ten million, one hundred twelve thousand, two hundred twenty-four".
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