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2166208 = 261117181
BaseRepresentation
bin1000010000110111000000
311002001110221
420100313000
51023304313
6114232424
724261322
oct10206700
94061427
102166208
11124a560
12885714
135aaca5
14405612
152cbc8d
hex210dc0

2166208 has 56 divisors (see below), whose sum is σ = 4992624. Its totient is φ = 921600.

The previous prime is 2166179. The next prime is 2166221. The reversal of 2166208 is 8026612.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11878 + ... + 12058.

It is an arithmetic number, because the mean of its divisors is an integer number (89154).

22166208 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 2166208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496312).

2166208 is an abundant number, since it is smaller than the sum of its proper divisors (2826416).

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

2166208 is a wasteful number, since it uses less digits than its factorization.

2166208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 2166208 is about 1471.8043348217. The cubic root of 2166208 is about 129.3898030469.

The spelling of 2166208 in words is "two million, one hundred sixty-six thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 181 187 272 352 362 374 544 704 724 748 1088 1448 1496 1991 2896 2992 3077 3982 5792 5984 6154 7964 11584 11968 12308 15928 24616 31856 33847 49232 63712 67694 98464 127424 135388 196928 270776 541552 1083104 2166208