Search a number
-
+
2219328 = 26323853
BaseRepresentation
bin1000011101110101000000
311011202100100
420131311000
51032004303
6115322400
724602226
oct10356500
94152310
102219328
111286461
128b0400
135c9217
1441ab16
152dc8a3
hex21dd40

2219328 has 42 divisors (see below), whose sum is σ = 6362954. Its totient is φ = 739584.

The previous prime is 2219323. The next prime is 2219351. The reversal of 2219328 is 8239122.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2214144 + 5184 = 1488^2 + 72^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2219323) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1351 + ... + 2502.

22219328 is an apocalyptic number.

It is an amenable number.

2219328 is an abundant number, since it is smaller than the sum of its proper divisors (4143626).

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

2219328 is a wasteful number, since it uses less digits than its factorization.

2219328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3871 (or 3858 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 2219328 is about 1489.7409170725. The cubic root of 2219328 is about 130.4389109418.

The spelling of 2219328 in words is "two million, two hundred nineteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 3853 7706 11559 15412 23118 30824 34677 46236 61648 69354 92472 123296 138708 184944 246592 277416 369888 554832 739776 1109664 2219328