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2126212 = 2211223191
BaseRepresentation
bin1000000111000110000100
311000000121121
420013012010
51021014322
6113323324
724033604
oct10070604
94000547
102126212
111222500
12866544
13595a1a
143d4c04
152beec7
hex207184

2126212 has 36 divisors (see below), whose sum is σ = 4290048. Its totient is φ = 919600.

The previous prime is 2126203. The next prime is 2126213.

2126212 is nontrivially palindromic in base 10.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2126213) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 11037 + ... + 11227.

It is an arithmetic number, because the mean of its divisors is an integer number (119168).

22126212 is an apocalyptic number.

2126212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2126212 is an abundant number, since it is smaller than the sum of its proper divisors (2163836).

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

2126212 is a wasteful number, since it uses less digits than its factorization.

2126212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 227 counting only the distinct ones).

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

The square root of 2126212 is about 1458.1536270229. The cubic root of 2126212 is about 128.5885171878.

The spelling of 2126212 in words is "two million, one hundred twenty-six thousand, two hundred twelve".

Divisors: 1 2 4 11 22 23 44 46 92 121 191 242 253 382 484 506 764 1012 2101 2783 4202 4393 5566 8404 8786 11132 17572 23111 46222 48323 92444 96646 193292 531553 1063106 2126212