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42252225224 = 2311253038231
BaseRepresentation
bin100111010110011011…
…011100101011001000
311001001122000102200112
4213112123130223020
51143013032201344
631224351453452
73024022663046
oct472633345310
9131048012615
1042252225224
1116a12309200
128232227288
133ca486b101
14208b761396
1511745bcc9e
hex9d66dcac8

42252225224 has 48 divisors (see below), whose sum is σ = 87106743360. Its totient is φ = 19199602400.

The previous prime is 42252225199. The next prime is 42252225259.

42252225224 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5129189 + ... + 5137419.

It is an arithmetic number, because the mean of its divisors is an integer number (1814723820).

Almost surely, 242252225224 is an apocalyptic number.

42252225224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42252225224 is an abundant number, since it is smaller than the sum of its proper divisors (44854518136).

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

42252225224 is a wasteful number, since it uses less digits than its factorization.

42252225224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13562 (or 13547 counting only the distinct ones).

The product of its digits is 51200, while the sum is 32.

The spelling of 42252225224 in words is "forty-two billion, two hundred fifty-two million, two hundred twenty-five thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 5303 8231 10606 16462 21212 32924 42424 58333 65848 90541 116666 181082 233332 362164 466664 641663 724328 995951 1283326 1991902 2566652 3983804 5133304 7967608 43648993 87297986 174595972 349191944 480138923 960277846 1920555692 3841111384 5281528153 10563056306 21126112612 42252225224