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422224141422224 = 2481772132271409
BaseRepresentation
bin110000000000000101011011…
…1111101110000111010010000
32001100222020022101012110210002
41200000022313331300322100
5420320210020201002344
64053555032014425132
7154635454555062431
oct14000126775607220
92040866271173702
10422224141422224
11112596286521529
123b431a4a8021a8
1315179747a98b2b
147639a86767488
1533c3043a4044e
hex18002b7f70e90

422224141422224 has 20 divisors (see below), whose sum is σ = 818060299768620. Its totient is φ = 211111805998080.

The previous prime is 422224141422203. The next prime is 422224141422233.

422224141422224 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 236603462886400 + 185620678535824 = 15381920^2 + 13624268^2 .

It is a super-2 number, since 2×4222241414222242 (a number of 30 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3052169 + ... + 29219240.

It is an arithmetic number, because the mean of its divisors is an integer number (40903014988431).

Almost surely, 2422224141422224 is an apocalyptic number.

It is an amenable number.

422224141422224 is a deficient number, since it is larger than the sum of its proper divisors (395836158346396).

422224141422224 is a wasteful number, since it uses less digits than its factorization.

422224141422224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33089138 (or 33089132 counting only the distinct ones).

The product of its digits is 262144, while the sum is 38.

The spelling of 422224141422224 in words is "four hundred twenty-two trillion, two hundred twenty-four billion, one hundred forty-one million, four hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 817721 1635442 3270884 6541768 13083536 32271409 64542818 129085636 258171272 516342544 26389008838889 52778017677778 105556035355556 211112070711112 422224141422224