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83441220 = 223513710151
BaseRepresentation
bin1001111100100…
…11011001000100
312211000020211120
410332103121010
5132330104340
612140233540
72032144602
oct476233104
9184006746
1083441220
1143111695
1223b3b8b0
1314396805
14b120872
1574d34d0
hex4f93644

83441220 has 48 divisors (see below), whose sum is σ = 235363968. Its totient is φ = 22086400.

The previous prime is 83441173. The next prime is 83441231. The reversal of 83441220 is 2214438.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3145 + ... + 13295.

It is an arithmetic number, because the mean of its divisors is an integer number (4903416).

Almost surely, 283441220 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 83441220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117681984).

83441220 is an abundant number, since it is smaller than the sum of its proper divisors (151922748).

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

83441220 is a wasteful number, since it uses less digits than its factorization.

83441220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10300 (or 10298 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 83441220 is about 9134.6165765181. The cubic root of 83441220 is about 436.9786464509.

Adding to 83441220 its reverse (2214438), we get a palindrome (85655658).

The spelling of 83441220 in words is "eighty-three million, four hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 685 822 1370 1644 2055 2740 4110 8220 10151 20302 30453 40604 50755 60906 101510 121812 152265 203020 304530 609060 1390687 2781374 4172061 5562748 6953435 8344122 13906870 16688244 20860305 27813740 41720610 83441220