Search a number
-
+
2212420 = 225715803
BaseRepresentation
bin1000011100001001000100
311011101212111
420130021010
51031244140
6115230404
724543130
oct10341104
94141774
102212420
111281251
128a8404
135c6032
144183c0
152da7ea
hex21c244

2212420 has 24 divisors (see below), whose sum is σ = 5310144. Its totient is φ = 758496.

The previous prime is 2212391. The next prime is 2212421. The reversal of 2212420 is 242122.

It is a self number, because there is not a number n which added to its sum of digits gives 2212420.

It is not an unprimeable number, because it can be changed into a prime (2212421) 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, 7762 + ... + 8041.

It is an arithmetic number, because the mean of its divisors is an integer number (221256).

22212420 is an apocalyptic number.

2212420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212420 is an abundant number, since it is smaller than the sum of its proper divisors (3097724).

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

2212420 is a wasteful number, since it uses less digits than its factorization.

2212420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15819 (or 15817 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2212420 is about 1487.4205861154. The cubic root of 2212420 is about 130.3034332168.

Subtracting from 2212420 its product of nonzero digits (64), we obtain a triangular number (2212356 = T2103).

Adding to 2212420 its reverse (242122), we get a palindrome (2454542).

The spelling of 2212420 in words is "two million, two hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 15803 31606 63212 79015 110621 158030 221242 316060 442484 553105 1106210 2212420