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8220282 = 2371729397
BaseRepresentation
bin11111010110111001111010
3120110122002220
4133112321322
54101022112
6452104510
7126604560
oct37267172
916418086
108220282
114705024
122905136
13191a795
14113da30
15ac598c
hex7d6e7a

8220282 has 64 divisors (see below), whose sum is σ = 20632320. Its totient is φ = 2128896.

The previous prime is 8220281. The next prime is 8220283. The reversal of 8220282 is 2820228.

It is an interprime number because it is at equal distance from previous prime (8220281) and next prime (8220283).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8220281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20508 + ... + 20904.

It is an arithmetic number, because the mean of its divisors is an integer number (322380).

Almost surely, 28220282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8220282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10316160).

8220282 is an abundant number, since it is smaller than the sum of its proper divisors (12412038).

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

8220282 is a wasteful number, since it uses less digits than its factorization.

8220282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455.

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 8220282 is about 2867.1034163420. The cubic root of 8220282 is about 201.8190877692.

The spelling of 8220282 in words is "eight million, two hundred twenty thousand, two hundred eighty-two".

Divisors: 1 2 3 6 7 14 17 21 29 34 42 51 58 87 102 119 174 203 238 357 397 406 493 609 714 794 986 1191 1218 1479 2382 2779 2958 3451 5558 6749 6902 8337 10353 11513 13498 16674 20247 20706 23026 34539 40494 47243 69078 80591 94486 141729 161182 195721 241773 283458 391442 483546 587163 1174326 1370047 2740094 4110141 8220282