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2114208 = 25332447
BaseRepresentation
bin1000000100001010100000
310222102011000
420010022200
51020123313
6113152000
723653605
oct10041240
93872130
102114208
111214488
1285b600
13590415
143d06ac
152bb673
hex2042a0

2114208 has 48 divisors (see below), whose sum is σ = 6168960. Its totient is φ = 704448.

The previous prime is 2114207. The next prime is 2114221. The reversal of 2114208 is 8024112.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2114207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 360 + ... + 2087.

It is an arithmetic number, because the mean of its divisors is an integer number (128520).

22114208 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 2114208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084480).

2114208 is an abundant number, since it is smaller than the sum of its proper divisors (4054752).

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

2114208 is a wasteful number, since it uses less digits than its factorization.

2114208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2114208 is about 1454.0316365196. The cubic root of 2114208 is about 128.3460687123.

The spelling of 2114208 in words is "two million, one hundred fourteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2447 4894 7341 9788 14682 19576 22023 29364 39152 44046 58728 66069 78304 88092 117456 132138 176184 234912 264276 352368 528552 704736 1057104 2114208