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2260000 = 2554113
BaseRepresentation
bin1000100111110000100000
311020211010201
420213300200
51034310000
6120234544
725131631
oct10476040
94224121
102260000
111303a76
1290ba54
136118a2
1442b888
152e996a
hex227c20

2260000 has 60 divisors (see below), whose sum is σ = 5609142. Its totient is φ = 896000.

The previous prime is 2259967. The next prime is 2260009. The reversal of 2260000 is 622.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 104976 + 2155024 = 324^2 + 1468^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19944 + ... + 20056.

22260000 is an apocalyptic number.

2260000 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 2260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804571).

2260000 is an abundant number, since it is smaller than the sum of its proper divisors (3349142).

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

2260000 is an equidigital number, since it uses as much as digits as its factorization.

2260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2260000 is about 1503.3296378373. The cubic root of 2260000 is about 131.2309118121.

Adding to 2260000 its reverse (622), we get a palindrome (2260622).

The spelling of 2260000 in words is "two million, two hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 113 125 160 200 226 250 400 452 500 565 625 800 904 1000 1130 1250 1808 2000 2260 2500 2825 3616 4000 4520 5000 5650 9040 10000 11300 14125 18080 20000 22600 28250 45200 56500 70625 90400 113000 141250 226000 282500 452000 565000 1130000 2260000