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2199296 = 2811271
BaseRepresentation
bin1000011000111100000000
311010201212102
420120330000
51030334141
6115045532
724456641
oct10307400
94121772
102199296
111272400
128a08a8
135c0078
144136c8
152d699b
hex218f00

2199296 has 54 divisors (see below), whose sum is σ = 4893336. Its totient is φ = 985600.

The previous prime is 2199277. The next prime is 2199299. The reversal of 2199296 is 6929912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2199299) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 30941 + ... + 31011.

22199296 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 2199296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446668).

2199296 is an abundant number, since it is smaller than the sum of its proper divisors (2694040).

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

2199296 is an equidigital number, since it uses as much as digits as its factorization.

2199296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 84 counting only the distinct ones).

The product of its digits is 17496, while the sum is 38.

The square root of 2199296 is about 1483.0023600790. The cubic root of 2199296 is about 130.0452702297.

The spelling of 2199296 in words is "two million, one hundred ninety-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 71 88 121 128 142 176 242 256 284 352 484 568 704 781 968 1136 1408 1562 1936 2272 2816 3124 3872 4544 6248 7744 8591 9088 12496 15488 17182 18176 24992 30976 34364 49984 68728 99968 137456 199936 274912 549824 1099648 2199296