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2245520 = 24528069
BaseRepresentation
bin1000100100001110010000
311020002021102
420210032100
51033324040
6120043532
725041464
oct10441620
94202242
102245520
1112a4102
129035a8
13608114
144264a4
152e5515
hex224390

2245520 has 20 divisors (see below), whose sum is σ = 5221020. Its totient is φ = 898176.

The previous prime is 2245501. The next prime is 2245541. The reversal of 2245520 is 255422.

It can be written as a sum of positive squares in 2 ways, for example, as 524176 + 1721344 = 724^2 + 1312^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2245492 and 2245501.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 13955 + ... + 14114.

It is an arithmetic number, because the mean of its divisors is an integer number (261051).

22245520 is an apocalyptic number.

2245520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2245520 is an abundant number, since it is smaller than the sum of its proper divisors (2975500).

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

2245520 is a wasteful number, since it uses less digits than its factorization.

2245520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28082 (or 28076 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 2245520 is about 1498.5059225776. The cubic root of 2245520 is about 130.9500421358.

The spelling of 2245520 in words is "two million, two hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 28069 56138 112276 140345 224552 280690 449104 561380 1122760 2245520