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2212352 = 2929149
BaseRepresentation
bin1000011100001000000000
311011101202222
420130020000
51031243402
6115230212
724543002
oct10341000
94141688
102212352
11128119a
128a8368
135c5cac
14418372
152da7a2
hex21c200

2212352 has 40 divisors (see below), whose sum is σ = 4603500. Its totient is φ = 1060864.

The previous prime is 2212351. The next prime is 2212361. The reversal of 2212352 is 2532122.

2212352 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2119936 + 92416 = 1456^2 + 304^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2212352.

It is not an unprimeable number, because it can be changed into a prime (2212351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14774 + ... + 14922.

22212352 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 2212352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301750).

2212352 is an abundant number, since it is smaller than the sum of its proper divisors (2391148).

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

2212352 is an equidigital number, since it uses as much as digits as its factorization.

2212352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 180 counting only the distinct ones).

The product of its digits is 240, while the sum is 17.

The square root of 2212352 is about 1487.3977275766. The cubic root of 2212352 is about 130.3020982195.

Adding to 2212352 its reverse (2532122), we get a palindrome (4744474).

The spelling of 2212352 in words is "two million, two hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 149 232 256 298 464 512 596 928 1192 1856 2384 3712 4321 4768 7424 8642 9536 14848 17284 19072 34568 38144 69136 76288 138272 276544 553088 1106176 2212352