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2120212 = 225373137
BaseRepresentation
bin1000000101101000010100
310222201101101
420011220110
51020321322
6113235444
724010243
oct10055024
93881341
102120212
111218a46
12862b84
13593083
143d295a
152bd327
hex205a14

2120212 has 24 divisors (see below), whose sum is σ = 3860136. Its totient is φ = 1018368.

The previous prime is 2120207. The next prime is 2120213.

2120212 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 646416 + 1473796 = 804^2 + 1214^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120213) 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 7 ways as a sum of consecutive naturals, for example, 15408 + ... + 15544.

It is an arithmetic number, because the mean of its divisors is an integer number (160839).

22120212 is an apocalyptic number.

It is an amenable number.

2120212 is a deficient number, since it is larger than the sum of its proper divisors (1739924).

2120212 is a wasteful number, since it uses less digits than its factorization.

2120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2120212 is about 1456.0947771351. The cubic root of 2120212 is about 128.4674477340.

It can be divided in two parts, 2120 and 212, that added together give a palindrome (2332).

The spelling of 2120212 in words is "two million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 4 53 73 106 137 146 212 274 292 548 3869 7261 7738 10001 14522 15476 20002 29044 40004 530053 1060106 2120212