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2263320 = 233256287
BaseRepresentation
bin1000101000100100011000
311020222200200
420220210120
51034411240
6120302200
725144413
oct10504430
94228620
102263320
111306514
12911960
13613257
1442cb7a
152ea930
hex228918

2263320 has 48 divisors (see below), whose sum is σ = 7356960. Its totient is φ = 603456.

The previous prime is 2263319. The next prime is 2263321. The reversal of 2263320 is 233622.

It is an interprime number because it is at equal distance from previous prime (2263319) and next prime (2263321).

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

It is a junction number, because it is equal to n+sod(n) for n = 2263293 and 2263302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263321) 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 11 ways as a sum of consecutive naturals, for example, 2784 + ... + 3503.

It is an arithmetic number, because the mean of its divisors is an integer number (153270).

22263320 is an apocalyptic number.

2263320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2263320 is an abundant number, since it is smaller than the sum of its proper divisors (5093640).

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

2263320 is a wasteful number, since it uses less digits than its factorization.

2263320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6304 (or 6297 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2263320 is about 1504.4334481791. The cubic root of 2263320 is about 131.2951409354.

Adding to 2263320 its reverse (233622), we get a palindrome (2496942).

The spelling of 2263320 in words is "two million, two hundred sixty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 6287 12574 18861 25148 31435 37722 50296 56583 62870 75444 94305 113166 125740 150888 188610 226332 251480 282915 377220 452664 565830 754440 1131660 2263320