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422322242223224 = 23727330412759369
BaseRepresentation
bin110000000000110011000111…
…1001110100111110001111000
32001101022121112012011111210002
41200001212033032213301320
5420323311423002120344
64054112054255212132
7154645526601115550
oct14001461716476170
92041277465144702
10422322242223224
111126239478a9282
123b448a68517048
1315185a7cc95485
14764071148c160
1533c588617944e
hex180198f3a7c78

422322242223224 has 32 divisors (see below), whose sum is σ = 904976892424800. Its totient is φ = 180995114849280.

The previous prime is 422322242223187. The next prime is 422322242223293.

422322242223224 is nontrivially palindromic in base 10.

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, 151670612 + ... + 154429980.

It is an arithmetic number, because the mean of its divisors is an integer number (28280527888275).

Almost surely, 2422322242223224 is an apocalyptic number.

It is an amenable number.

422322242223224 is an abundant number, since it is smaller than the sum of its proper divisors (482654650201576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

422322242223224 is a wasteful number, since it uses less digits than its factorization.

422322242223224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5492423 (or 5492419 counting only the distinct ones).

The product of its digits is 589824, while the sum is 38.

The spelling of 422322242223224 in words is "four hundred twenty-two trillion, three hundred twenty-two billion, two hundred forty-two million, two hundred twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 2733041 2759369 5466082 5518738 10932164 11037476 19131287 19315583 21864328 22074952 38262574 38631166 76525148 77262332 153050296 154524664 7541468611129 15082937222258 30165874444516 52790280277903 60331748889032 105580560555806 211161121111612 422322242223224