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218214705 = 35293111613
BaseRepresentation
bin11010000000110…
…11000100110001
3120012121110022010
431000123010301
5421330332310
633353033133
75256536322
oct1500330461
9505543263
10218214705
111021a3a35
12610b57a9
1336293c37
1420da4449
1514256320
hexd01b131

218214705 has 32 divisors (see below), whose sum is σ = 362568960. Its totient is φ = 111937280.

The previous prime is 218214653. The next prime is 218214707. The reversal of 218214705 is 507412812.

It is not a de Polignac number, because 218214705 - 227 = 83996977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (218214707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134479 + ... + 136091.

It is an arithmetic number, because the mean of its divisors is an integer number (11330280).

Almost surely, 2218214705 is an apocalyptic number.

It is an amenable number.

218214705 is a deficient number, since it is larger than the sum of its proper divisors (144354255).

218214705 is a wasteful number, since it uses less digits than its factorization.

218214705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961.

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 218214705 is about 14772.0920996317. The cubic root of 218214705 is about 602.0436838018.

The spelling of 218214705 in words is "two hundred eighteen million, two hundred fourteen thousand, seven hundred five".

Divisors: 1 3 5 15 29 87 145 311 435 933 1555 1613 4665 4839 8065 9019 24195 27057 45095 46777 135285 140331 233885 501643 701655 1504929 2508215 7524645 14547647 43642941 72738235 218214705