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214202302240 = 2551338764389
BaseRepresentation
bin1100011101111101110…
…0111011111100100000
3202110220010102101120111
43013133130323330200
512002141242132430
6242223030421104
721322063345663
oct3073734737440
9673803371514
10214202302240
118292a685073
123561bb01794
1317278810204
14a5203b96da
15588a218c2a
hex31df73bf20

214202302240 has 24 divisors (see below), whose sum is σ = 506052939420. Its totient is φ = 85680920832.

The previous prime is 214202302217. The next prime is 214202302241. The reversal of 214202302240 is 42203202412.

It can be written as a sum of positive squares in 2 ways, for example, as 196756119184 + 17446183056 = 443572^2 + 132084^2 .

It is not an unprimeable number, because it can be changed into a prime (214202302241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 669382035 + ... + 669382354.

Almost surely, 2214202302240 is an apocalyptic number.

214202302240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214202302240 is an abundant number, since it is smaller than the sum of its proper divisors (291850637180).

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

214202302240 is a wasteful number, since it uses less digits than its factorization.

214202302240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338764404 (or 1338764396 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 214202302240 its reverse (42203202412), we get a palindrome (256405504652).

The spelling of 214202302240 in words is "two hundred fourteen billion, two hundred two million, three hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1338764389 2677528778 5355057556 6693821945 10710115112 13387643890 21420230224 26775287780 42840460448 53550575560 107101151120 214202302240