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2263240 = 235759137
BaseRepresentation
bin1000101000100011001000
311020222120201
420220203020
51034410430
6120301544
725144240
oct10504310
94228521
102263240
111306451
129118b4
136131c5
1442cb20
152ea8ca
hex2288c8

2263240 has 64 divisors (see below), whose sum is σ = 5961600. Its totient is φ = 757248.

The previous prime is 2263237. The next prime is 2263243. The reversal of 2263240 is 423622.

It is an interprime number because it is at equal distance from previous prime (2263237) and next prime (2263243).

It is not an unprimeable number, because it can be changed into a prime (2263243) 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, 16452 + ... + 16588.

It is an arithmetic number, because the mean of its divisors is an integer number (93150).

22263240 is an apocalyptic number.

2263240 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 2263240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980800).

2263240 is an abundant number, since it is smaller than the sum of its proper divisors (3698360).

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

2263240 is a wasteful number, since it uses less digits than its factorization.

2263240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2263240 is about 1504.4068598621. The cubic root of 2263240 is about 131.2935939845.

Adding to 2263240 its reverse (423622), we get a palindrome (2686862).

The spelling of 2263240 in words is "two million, two hundred sixty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 59 70 118 137 140 236 274 280 295 413 472 548 590 685 826 959 1096 1180 1370 1652 1918 2065 2360 2740 3304 3836 4130 4795 5480 7672 8083 8260 9590 16166 16520 19180 32332 38360 40415 56581 64664 80830 113162 161660 226324 282905 323320 452648 565810 1131620 2263240