Base | Representation |
---|---|
bin | 1100010010001110001… |
… | …11101110000111001000 |
3 | 1111100111212121202100200 |
4 | 12021013013232013020 |
5 | 23403430100014344 |
6 | 521524323532200 |
7 | 42332013545316 |
oct | 6110707560710 |
9 | 1440455552320 |
10 | 422100001224 |
11 | 1530144a0420 |
12 | 6998052a060 |
13 | 30a5b104545 |
14 | 166033350b6 |
15 | aea6bcc069 |
hex | 62471ee1c8 |
422100001224 has 96 divisors (see below), whose sum is σ = 1290117628800. Its totient is φ = 123498426240.
The previous prime is 422100001223. The next prime is 422100001261.
422100001224 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×4221000012242 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 422100001197 and 422100001206.
It is not an unprimeable number, because it can be changed into a prime (422100001223) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9165904 + ... + 9211839.
It is an arithmetic number, because the mean of its divisors is an integer number (13438725300).
Almost surely, 2422100001224 is an apocalyptic number.
422100001224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.
It is an amenable number.
422100001224 is an abundant number, since it is smaller than the sum of its proper divisors (868017627576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
422100001224 is a wasteful number, since it uses less digits than its factorization.
422100001224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 18377795 (or 18377788 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
It can be divided in two parts, 42210000 and 1224, that added together give a palindrome (42211224).
The spelling of 422100001224 in words is "four hundred twenty-two billion, one hundred million, one thousand, two hundred twenty-four".
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