Search a number
-
+
2249240 = 235729277
BaseRepresentation
bin1000100101001000011000
311020021101012
420211020120
51033433430
6120113052
725055360
oct10451030
94207335
102249240
1112a6984
12905788
13609a16
144279a0
152e6695
hex225218

2249240 has 64 divisors (see below), whose sum is σ = 6004800. Its totient is φ = 741888.

The previous prime is 2249231. The next prime is 2249243. The reversal of 2249240 is 429422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2249243) 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 15 ways as a sum of consecutive naturals, for example, 7982 + ... + 8258.

It is an arithmetic number, because the mean of its divisors is an integer number (93825).

22249240 is an apocalyptic number.

2249240 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 2249240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002400).

2249240 is an abundant number, since it is smaller than the sum of its proper divisors (3755560).

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

2249240 is a wasteful number, since it uses less digits than its factorization.

2249240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2249240 is about 1499.7466452705. The cubic root of 2249240 is about 131.0223142456.

The spelling of 2249240 in words is "two million, two hundred forty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 277 280 290 406 554 580 812 1015 1108 1160 1385 1624 1939 2030 2216 2770 3878 4060 5540 7756 8033 8120 9695 11080 15512 16066 19390 32132 38780 40165 56231 64264 77560 80330 112462 160660 224924 281155 321320 449848 562310 1124620 2249240