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2195280 = 243253049
BaseRepresentation
bin1000010111111101010000
311010112100200
420113331100
51030222110
6115015200
724442143
oct10277520
94115320
102195280
11126a38a
1289a500
135bb2a9
1441205a
152d56c0
hex217f50

2195280 has 60 divisors (see below), whose sum is σ = 7374900. Its totient is φ = 585216.

The previous prime is 2195273. The next prime is 2195287. The reversal of 2195280 is 825912.

2195280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2195273) and next prime (2195287).

It can be written as a sum of positive squares in 2 ways, for example, as 484416 + 1710864 = 696^2 + 1308^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2195287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 805 + ... + 2244.

It is an arithmetic number, because the mean of its divisors is an integer number (122915).

22195280 is an apocalyptic number.

2195280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2195280 is an abundant number, since it is smaller than the sum of its proper divisors (5179620).

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

2195280 is a wasteful number, since it uses less digits than its factorization.

2195280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2195280 is about 1481.6477314126. The cubic root of 2195280 is about 129.9660660937.

The spelling of 2195280 in words is "two million, one hundred ninety-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 3049 6098 9147 12196 15245 18294 24392 27441 30490 36588 45735 48784 54882 60980 73176 91470 109764 121960 137205 146352 182940 219528 243920 274410 365880 439056 548820 731760 1097640 2195280