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9082216 = 23111317467
BaseRepresentation
bin100010101001…
…010101101000
3122002102110101
4202221111220
54311112331
6522355144
7140124523
oct42512550
918072411
109082216
115143670
12305bab4
131b5cbc0
1412c5bba
15be6061
hex8a9568

9082216 has 64 divisors (see below), whose sum is σ = 21228480. Its totient is φ = 3578880.

The previous prime is 9082211. The next prime is 9082219. The reversal of 9082216 is 6122809.

It is a happy number.

It is a super-3 number, since 3×90822163 (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (9082211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19215 + ... + 19681.

It is an arithmetic number, because the mean of its divisors is an integer number (331695).

Almost surely, 29082216 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 9082216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10614240).

9082216 is an abundant number, since it is smaller than the sum of its proper divisors (12146264).

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

9082216 is a wasteful number, since it uses less digits than its factorization.

9082216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 9082216 is about 3013.6715149465. The cubic root of 9082216 is about 208.6398565566.

The spelling of 9082216 in words is "nine million, eighty-two thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 13 17 22 26 34 44 52 68 88 104 136 143 187 221 286 374 442 467 572 748 884 934 1144 1496 1768 1868 2431 3736 4862 5137 6071 7939 9724 10274 12142 15878 19448 20548 24284 31756 41096 48568 63512 66781 87329 103207 133562 174658 206414 267124 349316 412828 534248 698632 825656 1135277 2270554 4541108 9082216