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42224005200 = 24352132706667
BaseRepresentation
bin100111010100101111…
…110011000001010000
311000222122220201002110
4213110233303001100
51142433321131300
631221502545320
73023231056656
oct472457630120
9130878821073
1042224005200
11169a8394073
128224898240
133c9ba6a380
142087ad6dd6
151171d96550
hex9d4bf3050

42224005200 has 120 divisors (see below), whose sum is σ = 145662045088. Its totient is φ = 10393597440.

The previous prime is 42224005189. The next prime is 42224005217. The reversal of 42224005200 is 250042224.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1337734 + ... + 1368933.

Almost surely, 242224005200 is an apocalyptic number.

42224005200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42224005200 is an abundant number, since it is smaller than the sum of its proper divisors (103438039888).

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

42224005200 is a wasteful number, since it uses less digits than its factorization.

42224005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706701 (or 2706690 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

Adding to 42224005200 its reverse (250042224), we get a palindrome (42474047424).

The spelling of 42224005200 in words is "forty-two billion, two hundred twenty-four million, five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 130 150 156 195 200 208 240 260 300 312 325 390 400 520 600 624 650 780 975 1040 1200 1300 1560 1950 2600 3120 3900 5200 7800 15600 2706667 5413334 8120001 10826668 13533335 16240002 21653336 27066670 32480004 35186671 40600005 43306672 54133340 64960008 67666675 70373342 81200010 105560013 108266680 129920016 135333350 140746684 162400020 175933355 203000025 211120026 216533360 270666700 281493368 324800040 351866710 406000050 422240052 527800065 541333400 562986736 649600080 703733420 812000100 844480104 879666775 1055600130 1082666800 1407466840 1624000200 1688960208 1759333550 2111200260 2639000325 2814933680 3248000400 3518667100 4222400520 5278000650 7037334200 8444801040 10556001300 14074668400 21112002600 42224005200