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206006664 = 23319835443
BaseRepresentation
bin11000100011101…
…10100110001000
3112100122020000110
430101312212020
5410214203124
632235234320
75051012343
oct1421664610
9470566013
10206006664
11a6315946
1258ba89a0
13338ab346
141d50745a
1513144029
hexc476988

206006664 has 64 divisors (see below), whose sum is σ = 548755200. Its totient is φ = 64259136.

The previous prime is 206006659. The next prime is 206006681. The reversal of 206006664 is 466600602.

It is a super-2 number, since 2×2060066642 = 84877491224817792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35127 + ... + 40569.

It is an arithmetic number, because the mean of its divisors is an integer number (8574300).

Almost surely, 2206006664 is an apocalyptic number.

206006664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206006664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274377600).

206006664 is an abundant number, since it is smaller than the sum of its proper divisors (342748536).

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

206006664 is a wasteful number, since it uses less digits than its factorization.

206006664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5554 (or 5550 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 206006664 is about 14352.9322439702. The cubic root of 206006664 is about 590.6004267708.

The spelling of 206006664 in words is "two hundred six million, six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 83 114 152 166 228 249 332 456 498 664 996 1577 1992 3154 4731 5443 6308 9462 10886 12616 16329 18924 21772 32658 37848 43544 65316 103417 130632 206834 310251 413668 451769 620502 827336 903538 1241004 1355307 1807076 2482008 2710614 3614152 5421228 8583611 10842456 17167222 25750833 34334444 51501666 68668888 103003332 206006664