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214642200 = 23352357737
BaseRepresentation
bin11001100101100…
…10111000011000
3112221212221202010
430302302320120
5414422022300
633144305520
75214300003
oct1462627030
9487787663
10214642200
11100183953
125ba722a0
1335612b26
142071453a
1513c9ca50
hexccb2e18

214642200 has 48 divisors (see below), whose sum is σ = 665392680. Its totient is φ = 57237760.

The previous prime is 214642139. The next prime is 214642213. The reversal of 214642200 is 2246412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178269 + ... + 179468.

Almost surely, 2214642200 is an apocalyptic number.

214642200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214642200 is an abundant number, since it is smaller than the sum of its proper divisors (450750480).

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

214642200 is a wasteful number, since it uses less digits than its factorization.

214642200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357756 (or 357747 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 214642200 is about 14650.6723395208. The cubic root of 214642200 is about 598.7401341930.

Adding to 214642200 its reverse (2246412), we get a palindrome (216888612).

The spelling of 214642200 in words is "two hundred fourteen million, six hundred forty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 357737 715474 1073211 1430948 1788685 2146422 2861896 3577370 4292844 5366055 7154740 8585688 8943425 10732110 14309480 17886850 21464220 26830275 35773700 42928440 53660550 71547400 107321100 214642200