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9109216 = 254153131
BaseRepresentation
bin100010101111…
…111011100000
3122010210111101
4202233323200
54312443331
6523124144
7140266324
oct42577340
918123441
109109216
115161986
123073654
131b6c28c
1412d1984
15bee061
hex8afee0

9109216 has 48 divisors (see below), whose sum is σ = 18860688. Its totient is φ = 4326400.

The previous prime is 9109207. The next prime is 9109223. The reversal of 9109216 is 6129019.

It is a super-2 number, since 2×91092162 = 165955632269312, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 69471 + ... + 69601.

It is an arithmetic number, because the mean of its divisors is an integer number (392931).

Almost surely, 29109216 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 9109216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9430344).

9109216 is an abundant number, since it is smaller than the sum of its proper divisors (9751472).

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

9109216 is a wasteful number, since it uses less digits than its factorization.

9109216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 28.

The square root of 9109216 is about 3018.1477763688. The cubic root of 9109216 is about 208.8464031764.

It can be divided in two parts, 910 and 9216, that multiplied together give a triangular number (8386560 = T4095).

The spelling of 9109216 in words is "nine million, one hundred nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 41 53 82 106 131 164 212 262 328 424 524 656 848 1048 1312 1696 2096 2173 4192 4346 5371 6943 8692 10742 13886 17384 21484 27772 34768 42968 55544 69536 85936 111088 171872 222176 284663 569326 1138652 2277304 4554608 9109216