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2195648 = 26713229
BaseRepresentation
bin1000011000000011000000
311010112212022
420120003000
51030230043
6115021012
724443210
oct10300300
94115768
102195648
11126a694
1289a768
135bb500
14412240
152d5868
hex2180c0

2195648 has 84 divisors (see below), whose sum is σ = 5577840. Its totient is φ = 838656.

The previous prime is 2195629. The next prime is 2195653. The reversal of 2195648 is 8465912.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75698 + ... + 75726.

22195648 is an apocalyptic number.

2195648 is a gapful number since it is divisible by the number (28) 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 2195648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788920).

2195648 is an abundant number, since it is smaller than the sum of its proper divisors (3382192).

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

2195648 is a wasteful number, since it uses less digits than its factorization.

2195648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 51 counting only the distinct ones).

The product of its digits is 17280, while the sum is 35.

The square root of 2195648 is about 1481.7719122726. The cubic root of 2195648 is about 129.9733278614.

The spelling of 2195648 in words is "two million, one hundred ninety-five thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 32 52 56 58 64 91 104 112 116 169 182 203 208 224 232 338 364 377 406 416 448 464 676 728 754 812 832 928 1183 1352 1456 1508 1624 1856 2366 2639 2704 2912 3016 3248 4732 4901 5278 5408 5824 6032 6496 9464 9802 10556 10816 12064 12992 18928 19604 21112 24128 34307 37856 39208 42224 68614 75712 78416 84448 137228 156832 168896 274456 313664 548912 1097824 2195648