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2002123368 = 233273972467
BaseRepresentation
bin111011101010101…
…1111101001101000
312011112100101221100
41313111133221220
513100020421433
6530400241400
7100420524240
oct16725375150
95145311840
102002123368
11938167a13
1247a610260
1325ba3b9ab
1414dc8cb20
15bab81b13
hex7755fa68

2002123368 has 48 divisors (see below), whose sum is σ = 6197050080. Its totient is φ = 572035104.

The previous prime is 2002123351. The next prime is 2002123369. The reversal of 2002123368 is 8633212002.

It is not an unprimeable number, because it can be changed into a prime (2002123369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1985730 + ... + 1986737.

It is an arithmetic number, because the mean of its divisors is an integer number (129105210).

Almost surely, 22002123368 is an apocalyptic number.

2002123368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2002123368 is an abundant number, since it is smaller than the sum of its proper divisors (4194926712).

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

2002123368 is a wasteful number, since it uses less digits than its factorization.

2002123368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3972486 (or 3972479 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2002123368 is about 44745.0932281965. The cubic root of 2002123368 is about 1260.3667715335.

The spelling of 2002123368 in words is "two billion, two million, one hundred twenty-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 3972467 7944934 11917401 15889868 23834802 27807269 31779736 35752203 47669604 55614538 71504406 83421807 95339208 111229076 143008812 166843614 222458152 250265421 286017624 333687228 500530842 667374456 1001061684 2002123368