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2120232 = 233232167
BaseRepresentation
bin1000000101101000101000
310222201102010
420011220220
51020321412
6113235520
724010302
oct10055050
93881363
102120232
111218a64
12862ba0
1359309a
143d2972
152bd33c
hex205a28

2120232 has 48 divisors (see below), whose sum is σ = 5574240. Its totient is φ = 671968.

The previous prime is 2120231. The next prime is 2120243. The reversal of 2120232 is 2320212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2120231) 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, 12613 + ... + 12779.

It is an arithmetic number, because the mean of its divisors is an integer number (116130).

22120232 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 2120232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2787120).

2120232 is an abundant number, since it is smaller than the sum of its proper divisors (3454008).

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

2120232 is a wasteful number, since it uses less digits than its factorization.

2120232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2120232 is about 1456.1016448037. The cubic root of 2120232 is about 128.4678516781.

Adding to 2120232 its reverse (2320212), we get a palindrome (4440444).

The spelling of 2120232 in words is "two million, one hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 167 184 276 334 501 529 552 668 1002 1058 1336 1587 2004 2116 3174 3841 4008 4232 6348 7682 11523 12696 15364 23046 30728 46092 88343 92184 176686 265029 353372 530058 706744 1060116 2120232