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2138214 = 231379347
BaseRepresentation
bin1000001010000001100110
311000122002010
420022001212
51021410324
6113455050
724113601
oct10120146
94018063
102138214
111230521
12871486
1359b320
143d9338
152c3829
hex20a066

2138214 has 32 divisors (see below), whose sum is σ = 4677120. Its totient is φ = 647712.

The previous prime is 2138207. The next prime is 2138221. The reversal of 2138214 is 4128312.

It is an interprime number because it is at equal distance from previous prime (2138207) and next prime (2138221).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5989 + ... + 6335.

It is an arithmetic number, because the mean of its divisors is an integer number (146160).

22138214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338560).

2138214 is an abundant number, since it is smaller than the sum of its proper divisors (2538906).

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

2138214 is a wasteful number, since it uses less digits than its factorization.

2138214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444.

The product of its digits is 384, while the sum is 21.

The square root of 2138214 is about 1462.2633141811. The cubic root of 2138214 is about 128.8300146734.

The spelling of 2138214 in words is "two million, one hundred thirty-eight thousand, two hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 79 158 237 347 474 694 1027 1041 2054 2082 3081 4511 6162 9022 13533 27066 27413 54826 82239 164478 356369 712738 1069107 2138214