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2195232 = 253131759
BaseRepresentation
bin1000010111111100100000
311010112021220
420113330200
51030221412
6115015040
724442044
oct10277440
94115256
102195232
11126a346
1289a480
135bb270
14412024
152d568c
hex217f20

2195232 has 48 divisors (see below), whose sum is σ = 6209280. Its totient is φ = 675072.

The previous prime is 2195201. The next prime is 2195233. The reversal of 2195232 is 2325912.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2195233) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 369 + ... + 2127.

It is an arithmetic number, because the mean of its divisors is an integer number (129360).

22195232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2195232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104640).

2195232 is an abundant number, since it is smaller than the sum of its proper divisors (4014048).

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

2195232 is a wasteful number, since it uses less digits than its factorization.

2195232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1777 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 2195232 is about 1481.6315331418. The cubic root of 2195232 is about 129.9651188468.

The spelling of 2195232 in words is "two million, one hundred ninety-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1759 3518 5277 7036 10554 14072 21108 22867 28144 42216 45734 56288 68601 84432 91468 137202 168864 182936 274404 365872 548808 731744 1097616 2195232