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2195856 = 2433131723
BaseRepresentation
bin1000011000000110010000
311010120011000
420120012100
51030231411
6115022000
724443625
oct10300620
94116130
102195856
11126a863
1289a900
135bb630
1441234c
152d5956
hex218190

2195856 has 160 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 608256.

The previous prime is 2195827. The next prime is 2195861. The reversal of 2195856 is 6585912.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 217 + 1 + 93 + 57 + 85 + 59 + 62 .

It is a self number, because there is not a number n which added to its sum of digits gives 2195856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95461 + ... + 95483.

It is an arithmetic number, because the mean of its divisors is an integer number (46872).

22195856 is an apocalyptic number.

2195856 is a gapful number since it is divisible by the number (26) 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 2195856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

2195856 is an abundant number, since it is smaller than the sum of its proper divisors (5303664).

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

2195856 is a wasteful number, since it uses less digits than its factorization.

2195856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 58 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 2195856 is about 1481.8420968511. The cubic root of 2195856 is about 129.9774319799.

The spelling of 2195856 in words is "two million, one hundred ninety-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 23 24 26 27 34 36 39 46 48 51 52 54 68 69 72 78 92 102 104 108 117 136 138 144 153 156 184 204 207 208 216 221 234 272 276 299 306 312 351 368 391 408 414 432 442 459 468 552 598 612 621 624 663 702 782 816 828 884 897 918 936 1104 1173 1196 1224 1242 1326 1404 1564 1656 1768 1794 1836 1872 1989 2346 2392 2448 2484 2652 2691 2808 3128 3312 3519 3536 3588 3672 3978 4692 4784 4968 5083 5304 5382 5616 5967 6256 7038 7176 7344 7956 8073 9384 9936 10166 10557 10608 10764 11934 14076 14352 15249 15912 16146 18768 20332 21114 21528 23868 28152 30498 31824 32292 40664 42228 43056 45747 47736 56304 60996 64584 81328 84456 91494 95472 121992 129168 137241 168912 182988 243984 274482 365976 548964 731952 1097928 2195856