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2212364 = 227112653
BaseRepresentation
bin1000011100001000001100
311011101210102
420130020030
51031243424
6115230232
724543020
oct10341014
94141712
102212364
111281200
128a8378
135c5cbb
14418380
152da7ae
hex21c20c

2212364 has 36 divisors (see below), whose sum is σ = 4870992. Its totient is φ = 860640.

The previous prime is 2212361. The next prime is 2212387. The reversal of 2212364 is 4632122.

It is a d-powerful number, because it can be written as 23 + 213 + 1 + 219 + 35 + 68 + 42 .

It is not an unprimeable number, because it can be changed into a prime (2212361) 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, 3062 + ... + 3714.

22212364 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 2212364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435496).

2212364 is an abundant number, since it is smaller than the sum of its proper divisors (2658628).

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

2212364 is a wasteful number, since it uses less digits than its factorization.

2212364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 673 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 2212364 is about 1487.4017614619. The cubic root of 2212364 is about 130.3023338093.

Adding to 2212364 its reverse (4632122), we get a palindrome (6844486).

The spelling of 2212364 in words is "two million, two hundred twelve thousand, three hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 154 242 308 484 653 847 1306 1694 2612 3388 4571 7183 9142 14366 18284 28732 50281 79013 100562 158026 201124 316052 553091 1106182 2212364