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8222058 = 2321341857
BaseRepresentation
bin11111010111010101101010
3120110201112200
4133113111222
54101101213
6452121030
7126613005
oct37272552
916421480
108222058
114706399
122906176
13191b530
14114053c
15ac6273
hex7d756a

8222058 has 48 divisors (see below), whose sum is σ = 19675656. Its totient is φ = 2465280.

The previous prime is 8222057. The next prime is 8222059. The reversal of 8222058 is 8502228.

It is an interprime number because it is at equal distance from previous prime (8222057) and next prime (8222059).

It can be written as a sum of positive squares in 4 ways, for example, as 5489649 + 2732409 = 2343^2 + 1653^2 .

It is not an unprimeable number, because it can be changed into a prime (8222057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9166 + ... + 10022.

Almost surely, 28222058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8222058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9837828).

8222058 is an abundant number, since it is smaller than the sum of its proper divisors (11453598).

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

8222058 is a wasteful number, since it uses less digits than its factorization.

8222058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 8222058 is about 2867.4131198695. The cubic root of 8222058 is about 201.8336211267.

The spelling of 8222058 in words is "eight million, two hundred twenty-two thousand, fifty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 234 246 369 533 738 857 1066 1599 1714 2571 3198 4797 5142 7713 9594 11141 15426 22282 33423 35137 66846 70274 100269 105411 200538 210822 316233 456781 632466 913562 1370343 2740686 4111029 8222058