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214330960 = 24519913463
BaseRepresentation
bin11001100011001…
…10111001010000
3112221022010210201
430301212321100
5414332042320
633133504544
75211532414
oct1461467120
9487263721
10214330960
11aaa91028
125b942154
133553426c
1420672d44
1513c3a70a
hexcc66e50

214330960 has 40 divisors (see below), whose sum is σ = 500860800. Its totient is φ = 85295232.

The previous prime is 214330933. The next prime is 214331023. The reversal of 214330960 is 69033412.

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

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 7 ways as a sum of consecutive naturals, for example, 9189 + ... + 22651.

It is an arithmetic number, because the mean of its divisors is an integer number (12521520).

Almost surely, 2214330960 is an apocalyptic number.

214330960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214330960 is an abundant number, since it is smaller than the sum of its proper divisors (286529840).

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

214330960 is a wasteful number, since it uses less digits than its factorization.

214330960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13675 (or 13669 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 214330960 is about 14640.0464480137. The cubic root of 214330960 is about 598.4505949433.

The spelling of 214330960 in words is "two hundred fourteen million, three hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 199 398 796 995 1592 1990 3184 3980 7960 13463 15920 26926 53852 67315 107704 134630 215408 269260 538520 1077040 2679137 5358274 10716548 13395685 21433096 26791370 42866192 53582740 107165480 214330960