Search a number
-
+
2212640 = 25513829
BaseRepresentation
bin1000011100001100100000
311011102011122
420130030200
51031301030
6115231412
724543563
oct10341440
94142148
102212640
111281431
128a8568
135c6171
144184da
152da8e5
hex21c320

2212640 has 24 divisors (see below), whose sum is σ = 5227740. Its totient is φ = 884992.

The previous prime is 2212633. The next prime is 2212657. The reversal of 2212640 is 462122.

It can be written as a sum of positive squares in 2 ways, for example, as 2062096 + 150544 = 1436^2 + 388^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 6755 + ... + 7074.

22212640 is an apocalyptic number.

2212640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212640 is an abundant number, since it is smaller than the sum of its proper divisors (3015100).

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

2212640 is a wasteful number, since it uses less digits than its factorization.

2212640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13844 (or 13836 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2212640 is about 1487.4945378051. The cubic root of 2212640 is about 130.3077521384.

Adding to 2212640 its reverse (462122), we get a palindrome (2674762).

The spelling of 2212640 in words is "two million, two hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 13829 27658 55316 69145 110632 138290 221264 276580 442528 553160 1106320 2212640