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208214960 = 2456142667
BaseRepresentation
bin11000110100100…
…01101110110000
3112111210102020012
430122101232300
5411300334320
632354434052
75105540462
oct1432215660
9474712205
10208214960
11a7593a88
1259892928
13341a2525
141d920132
151342d4c5
hexc691bb0

208214960 has 40 divisors (see below), whose sum is σ = 492047376. Its totient is φ = 81918720.

The previous prime is 208214959. The next prime is 208214969. The reversal of 208214960 is 69412802.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (208214969) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 16454 + ... + 26213.

Almost surely, 2208214960 is an apocalyptic number.

208214960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

208214960 is an abundant number, since it is smaller than the sum of its proper divisors (283832416).

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

208214960 is a wasteful number, since it uses less digits than its factorization.

208214960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42741 (or 42735 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 208214960 is about 14429.6555745451. The cubic root of 208214960 is about 592.7032517921.

The spelling of 208214960 in words is "two hundred eight million, two hundred fourteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 42667 85334 170668 213335 341336 426670 682672 853340 1706680 2602687 3413360 5205374 10410748 13013435 20821496 26026870 41642992 52053740 104107480 208214960