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14166208 = 267103307
BaseRepresentation
bin110110000010…
…100011000000
3222122201101101
4312002203000
512111304313
61223344144
7231260620
oct66024300
928581341
1014166208
117aa6311
1248b2054
132c1cc94
141c4a880
15139c5dd
hexd828c0

14166208 has 56 divisors (see below), whose sum is σ = 32544512. Its totient is φ = 5992704.

The previous prime is 14166203. The next prime is 14166233. The reversal of 14166208 is 80266141.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14166203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45991 + ... + 46297.

It is an arithmetic number, because the mean of its divisors is an integer number (581152).

Almost surely, 214166208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14166208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16272256).

14166208 is an abundant number, since it is smaller than the sum of its proper divisors (18378304).

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

14166208 is a wasteful number, since it uses less digits than its factorization.

14166208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 14166208 is about 3763.8023327481. The cubic root of 14166208 is about 241.9642503483.

The spelling of 14166208 in words is "fourteen million, one hundred sixty-six thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 103 112 206 224 307 412 448 614 721 824 1228 1442 1648 2149 2456 2884 3296 4298 4912 5768 6592 8596 9824 11536 17192 19648 23072 31621 34384 46144 63242 68768 126484 137536 221347 252968 442694 505936 885388 1011872 1770776 2023744 3541552 7083104 14166208