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2140216 = 231321583
BaseRepresentation
bin1000001010100000111000
311000201211021
420022200320
51021441331
6113512224
724122461
oct10124070
94021737
102140216
111231a81
12872674
1359c200
143d9d68
152c4211
hex20a838

2140216 has 24 divisors (see below), whose sum is σ = 4348080. Its totient is φ = 987168.

The previous prime is 2140207. The next prime is 2140223. The reversal of 2140216 is 6120412.

It is a self number, because there is not a number n which added to its sum of digits gives 2140216.

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 5 ways as a sum of consecutive naturals, for example, 561 + ... + 2143.

It is an arithmetic number, because the mean of its divisors is an integer number (181170).

22140216 is an apocalyptic number.

2140216 is a gapful number since it is divisible by the number (26) 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 2140216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174040).

2140216 is an abundant number, since it is smaller than the sum of its proper divisors (2207864).

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

2140216 is a wasteful number, since it uses less digits than its factorization.

2140216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2140216 is about 1462.9477092501. The cubic root of 2140216 is about 128.8702097826.

Adding to 2140216 its reverse (6120412), we get a palindrome (8260628).

The spelling of 2140216 in words is "two million, one hundred forty thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 1583 3166 6332 12664 20579 41158 82316 164632 267527 535054 1070108 2140216