Search a number
-
+
2217240 = 233352053
BaseRepresentation
bin1000011101010100011000
311011122111000
420131110120
51031422430
6115305000
724563154
oct10352430
94148430
102217240
111284933
128ab160
135c829c
1441a064
152dbe60
hex21d518

2217240 has 64 divisors (see below), whose sum is σ = 7394400. Its totient is φ = 590976.

The previous prime is 2217233. The next prime is 2217247. The reversal of 2217240 is 427122.

2217240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2217233) and next prime (2217247).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2217247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54 + ... + 2106.

22217240 is an apocalyptic number.

2217240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2217240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3697200).

2217240 is an abundant number, since it is smaller than the sum of its proper divisors (5177160).

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

2217240 is a wasteful number, since it uses less digits than its factorization.

2217240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2217240 is about 1489.0399591683. The cubic root of 2217240 is about 130.3979913625.

The spelling of 2217240 in words is "two million, two hundred seventeen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 2053 4106 6159 8212 10265 12318 16424 18477 20530 24636 30795 36954 41060 49272 55431 61590 73908 82120 92385 110862 123180 147816 184770 221724 246360 277155 369540 443448 554310 739080 1108620 2217240