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2208690 = 2325112397
BaseRepresentation
bin1000011011001110110010
311011012202100
420123032302
51031134230
6115201230
724526221
oct10331662
94135670
102208690
111279470
128a6216
135c4423
14416cb8
152d9660
hex21b3b2

2208690 has 96 divisors (see below), whose sum is σ = 6604416. Its totient is φ = 506880.

The previous prime is 2208683. The next prime is 2208697. The reversal of 2208690 is 968022.

2208690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2208683) and next prime (2208697).

It is a super-2 number, since 2×22086902 = 9756623032200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2208697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22722 + ... + 22818.

It is an arithmetic number, because the mean of its divisors is an integer number (68796).

22208690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2208690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302208).

2208690 is an abundant number, since it is smaller than the sum of its proper divisors (4395726).

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

2208690 is a wasteful number, since it uses less digits than its factorization.

2208690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2208690 is about 1486.1662087398. The cubic root of 2208690 is about 130.2301642471.

The spelling of 2208690 in words is "two million, two hundred eight thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 30 33 45 46 55 66 69 90 97 99 110 115 138 165 194 198 207 230 253 291 330 345 414 485 495 506 582 690 759 873 970 990 1035 1067 1265 1455 1518 1746 2070 2134 2231 2277 2530 2910 3201 3795 4365 4462 4554 5335 6402 6693 7590 8730 9603 10670 11155 11385 13386 16005 19206 20079 22310 22770 24541 32010 33465 40158 48015 49082 66930 73623 96030 100395 122705 147246 200790 220869 245410 368115 441738 736230 1104345 2208690