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42222422224 = 24231993671571
BaseRepresentation
bin100111010100101001…
…110000100011010000
311000222112221021122201
4213110221300203100
51142432420002344
631221405012544
73023211444613
oct472451604320
9130875837581
1042222422224
11169a7502824
128224254154
133c9b6349b8
14208780417a
151171b824d4
hex9d4a708d0

42222422224 has 80 divisors (see below), whose sum is σ = 86080204800. Its totient is φ = 20024357760.

The previous prime is 42222422183. The next prime is 42222422233.

42222422224 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 42222422192 and 42222422201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26875359 + ... + 26876929.

It is an arithmetic number, because the mean of its divisors is an integer number (1076002560).

Almost surely, 242222422224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42222422224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43040102400).

42222422224 is an abundant number, since it is smaller than the sum of its proper divisors (43857782576).

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

42222422224 is a wasteful number, since it uses less digits than its factorization.

42222422224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2162 counting only the distinct ones).

The product of its digits is 16384, while the sum is 28.

The spelling of 42222422224 in words is "forty-two billion, two hundred twenty-two million, four hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 46 92 184 199 367 368 398 734 796 1468 1571 1592 2936 3142 3184 4577 5872 6284 8441 9154 12568 16882 18308 25136 33764 36133 36616 67528 72266 73033 73232 135056 144532 146066 289064 292132 312629 576557 578128 584264 625258 1153114 1168528 1250516 1679759 2306228 2501032 3359518 4612456 5002064 6719036 7190467 9224912 13260811 13438072 14380934 26521622 26876144 28761868 53043244 57523736 106086488 114734843 115047472 212172976 229469686 458939372 917878744 1835757488 2638901389 5277802778 10555605556 21111211112 42222422224