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2014208 = 2107281
BaseRepresentation
bin111101011110000000000
310210022222022
413223300000
51003423313
6111101012
723056220
oct7536000
93708868
102014208
111156339
12811768
13556a51
143a6080
1529bc08
hex1ebc00

2014208 has 44 divisors (see below), whose sum is σ = 4618032. Its totient is φ = 860160.

The previous prime is 2014193. The next prime is 2014213. The reversal of 2014208 is 8024102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7028 + ... + 7308.

22014208 is an apocalyptic number.

2014208 is a gapful number since it is divisible by the number (28) 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 2014208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309016).

2014208 is an abundant number, since it is smaller than the sum of its proper divisors (2603824).

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

2014208 is an equidigital number, since it uses as much as digits as its factorization.

2014208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2014208 is about 1419.2279591383. The cubic root of 2014208 is about 126.2897505781.

It can be divided in two parts, 2014 and 208, that added together give a palindrome (2222).

The spelling of 2014208 in words is "two million, fourteen thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 281 448 512 562 896 1024 1124 1792 1967 2248 3584 3934 4496 7168 7868 8992 15736 17984 31472 35968 62944 71936 125888 143872 251776 287744 503552 1007104 2014208