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218401314 = 23197512551
BaseRepresentation
bin11010000010010…
…00101000100010
3120012221221021120
431001020220202
5421402320224
633401033110
75261244345
oct1501105042
9505857246
10218401314
1110231115a
1261185796
133632ab61
142101245c
1514291779
hexd048a22

218401314 has 32 divisors (see below), whose sum is σ = 460584960. Its totient is φ = 68850000.

The previous prime is 218401279. The next prime is 218401319. The reversal of 218401314 is 413104812.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (218401319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84339 + ... + 86889.

It is an arithmetic number, because the mean of its divisors is an integer number (14393280).

Almost surely, 2218401314 is an apocalyptic number.

218401314 is an abundant number, since it is smaller than the sum of its proper divisors (242183646).

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

218401314 is a wasteful number, since it uses less digits than its factorization.

218401314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3326.

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 218401314 is about 14778.4070183494. The cubic root of 218401314 is about 602.2152499360.

The spelling of 218401314 in words is "two hundred eighteen million, four hundred one thousand, three hundred fourteen".

Divisors: 1 2 3 6 19 38 57 114 751 1502 2253 2551 4506 5102 7653 14269 15306 28538 42807 48469 85614 96938 145407 290814 1915801 3831602 5747403 11494806 36400219 72800438 109200657 218401314