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990221312 = 2102114583
BaseRepresentation
bin111011000001011…
…001010000000000
32120000021110021102
4323001121100000
54011444040222
6242131513532
733352512413
oct7301312000
92500243242
10990221312
11468a54a23
122377588a8
1312a1c5292
1495723b7a
155bdedd92
hex3b059400

990221312 has 44 divisors (see below), whose sum is σ = 1989290976. Its totient is φ = 492656640.

The previous prime is 990221303. The next prime is 990221317. The reversal of 990221312 is 213122099.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990221317) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 213773 + ... + 218355.

Almost surely, 2990221312 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 990221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994645488).

990221312 is an abundant number, since it is smaller than the sum of its proper divisors (999069664).

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

990221312 is a wasteful number, since it uses less digits than its factorization.

990221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4814 (or 4796 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 990221312 is about 31467.7821271217. The cubic root of 990221312 is about 996.7297544855.

The spelling of 990221312 in words is "nine hundred ninety million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 211 256 422 512 844 1024 1688 3376 4583 6752 9166 13504 18332 27008 36664 54016 73328 108032 146656 216064 293312 586624 967013 1173248 1934026 2346496 3868052 4692992 7736104 15472208 30944416 61888832 123777664 247555328 495110656 990221312