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82213208 = 2371131103
BaseRepresentation
bin1001110011001…
…11100101011000
312201200212022122
410321213211120
5132021310313
612054040412
72015541440
oct471474530
9181625278
1082213208
1142453000
1223649108
131405688c
14acc1120
15733e708
hex4e67958

82213208 has 64 divisors (see below), whose sum is σ = 193950720. Its totient is φ = 32002080.

The previous prime is 82213193. The next prime is 82213213. The reversal of 82213208 is 80231228.

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, 73985 + ... + 75087.

It is an arithmetic number, because the mean of its divisors is an integer number (3030480).

Almost surely, 282213208 is an apocalyptic number.

82213208 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82213208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96975360).

82213208 is an abundant number, since it is smaller than the sum of its proper divisors (111737512).

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

82213208 is a wasteful number, since it uses less digits than its factorization.

82213208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 82213208 is about 9067.1499381007. The cubic root of 82213208 is about 434.8243585613.

The spelling of 82213208 in words is "eighty-two million, two hundred thirteen thousand, two hundred eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 242 308 484 616 847 968 1103 1331 1694 2206 2662 3388 4412 5324 6776 7721 8824 9317 10648 12133 15442 18634 24266 30884 37268 48532 61768 74536 84931 97064 133463 169862 266926 339724 533852 679448 934241 1067704 1468093 1868482 2936186 3736964 5872372 7473928 10276651 11744744 20553302 41106604 82213208