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2196288 = 26333141
BaseRepresentation
bin1000011000001101000000
311010120202000
420120031000
51030240123
6115024000
724445113
oct10301500
94116660
102196288
111270116
1289b000
135bb8a3
1441257a
152d5b43
hex218340

2196288 has 112 divisors (see below), whose sum is σ = 6827520. Its totient is φ = 691200.

The previous prime is 2196287. The next prime is 2196289. The reversal of 2196288 is 8826912.

2196288 is a `hidden beast` number, since 21 + 9 + 628 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2196287) and next prime (2196289).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2196287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53548 + ... + 53588.

It is an arithmetic number, because the mean of its divisors is an integer number (60960).

22196288 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 2196288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413760).

2196288 is an abundant number, since it is smaller than the sum of its proper divisors (4631232).

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

2196288 is a wasteful number, since it uses less digits than its factorization.

2196288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 77 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 2196288 is about 1481.9878542012. The cubic root of 2196288 is about 129.9859550902.

Adding to 2196288 its sum of digits (36), we get a square (2196324 = 14822).

The spelling of 2196288 in words is "two million, one hundred ninety-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 41 48 54 62 64 72 82 93 96 108 123 124 144 164 186 192 216 246 248 279 288 328 369 372 432 492 496 558 576 656 738 744 837 864 984 992 1107 1116 1271 1312 1476 1488 1674 1728 1968 1984 2214 2232 2542 2624 2952 2976 3348 3813 3936 4428 4464 5084 5904 5952 6696 7626 7872 8856 8928 10168 11439 11808 13392 15252 17712 17856 20336 22878 23616 26784 30504 34317 35424 40672 45756 53568 61008 68634 70848 81344 91512 122016 137268 183024 244032 274536 366048 549072 732096 1098144 2196288