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990214002 = 23274172
BaseRepresentation
bin111011000001010…
…111011101110010
32120000021002020200
4323001113131302
54011443322002
6242131420030
733352452201
oct7301273562
92500232220
10990214002
11468a4a488
12237754616
1312a1c1b5b
1495721238
155bdebb1c
hex3b057772

990214002 has 18 divisors (see below), whose sum is σ = 2145752973. Its totient is φ = 330026832.

The previous prime is 990213989. The next prime is 990214003. The reversal of 990214002 is 200412099.

It can be written as a sum of positive squares in 2 ways, for example, as 879774921 + 110439081 = 29661^2 + 10509^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=22251.

It is not an unprimeable number, because it can be changed into a prime (990214003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 129798 + ... + 137214.

Almost surely, 2990214002 is an apocalyptic number.

990214002 is an abundant number, since it is smaller than the sum of its proper divisors (1155538971).

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

990214002 is an frugal number, since it uses more digits than its factorization.

990214002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14842 (or 7422 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 990214002 is about 31467.6659763637. The cubic root of 990214002 is about 996.7273017973.

The spelling of 990214002 in words is "nine hundred ninety million, two hundred fourteen thousand, two".

Divisors: 1 2 3 6 9 18 7417 14834 22251 44502 66753 133506 55011889 110023778 165035667 330071334 495107001 990214002