Search a number
-
+
208002213640 = 23513400004257
BaseRepresentation
bin1100000110110111100…
…1011110011100001000
3201212220000212020221101
43001231321132130020
511401442031314030
6235315505151144
721012326433634
oct3015571363410
9655800766841
10208002213640
1180238910801
123438b62b4b4
13167cb158a30
14a0d2ba3dc4
155625c5a7ca
hex306de5e708

208002213640 has 32 divisors (see below), whose sum is σ = 504005365080. Its totient is φ = 76800817152.

The previous prime is 208002213631. The next prime is 208002213647. The reversal of 208002213640 is 46312200802.

208002213640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 117746432164 + 90255781476 = 343142^2 + 300426^2 .

It is a junction number, because it is equal to n+sod(n) for n = 208002213599 and 208002213608.

It is not an unprimeable number, because it can be changed into a prime (208002213647) 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 7 ways as a sum of consecutive naturals, for example, 200001609 + ... + 200002648.

Almost surely, 2208002213640 is an apocalyptic number.

208002213640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

208002213640 is an abundant number, since it is smaller than the sum of its proper divisors (296003151440).

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

208002213640 is a wasteful number, since it uses less digits than its factorization.

208002213640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400004281 (or 400004277 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 208002213640 in words is "two hundred eight billion, two million, two hundred thirteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 400004257 800008514 1600017028 2000021285 3200034056 4000042570 5200055341 8000085140 10400110682 16000170280 20800221364 26000276705 41600442728 52000553410 104001106820 208002213640