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2245860 = 223354159
BaseRepresentation
bin1000100100010011100100
311020002202000
420210103210
51033331420
6120045300
725042461
oct10442344
94202660
102245860
1112a4391
12903830
13608316
14426668
152e5690
hex2244e4

2245860 has 48 divisors (see below), whose sum is σ = 6988800. Its totient is φ = 598752.

The previous prime is 2245849. The next prime is 2245861. The reversal of 2245860 is 685422.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2245861) 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, 1540 + ... + 2619.

It is an arithmetic number, because the mean of its divisors is an integer number (145600).

22245860 is an apocalyptic number.

2245860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2245860 is an abundant number, since it is smaller than the sum of its proper divisors (4742940).

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

2245860 is a wasteful number, since it uses less digits than its factorization.

2245860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4177 (or 4169 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2245860 is about 1498.6193646153. The cubic root of 2245860 is about 130.9566509640.

It can be divided in two parts, 224 and 5860, that added together give a square (6084 = 782).

The spelling of 2245860 in words is "two million, two hundred forty-five thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 4159 8318 12477 16636 20795 24954 37431 41590 49908 62385 74862 83180 112293 124770 149724 187155 224586 249540 374310 449172 561465 748620 1122930 2245860