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2191168 = 2676773
BaseRepresentation
bin1000010110111101000000
311010022201101
420112331000
51030104133
6114544144
724424150
oct10267500
94108641
102191168
111267291
12898054
135b9465
14410760
152d437d
hex216f40

2191168 has 56 divisors (see below), whose sum is σ = 5112512. Its totient is φ = 912384.

The previous prime is 2191159. The next prime is 2191169. The reversal of 2191168 is 8611912.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2191169) 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, 29980 + ... + 30052.

22191168 is an apocalyptic number.

2191168 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 2191168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556256).

2191168 is an abundant number, since it is smaller than the sum of its proper divisors (2921344).

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

2191168 is an equidigital number, since it uses as much as digits as its factorization.

2191168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 149 counting only the distinct ones).

The product of its digits is 864, while the sum is 28.

The square root of 2191168 is about 1480.2594367205. The cubic root of 2191168 is about 129.8848684807.

The spelling of 2191168 in words is "two million, one hundred ninety-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 73 112 134 146 224 268 292 448 469 511 536 584 938 1022 1072 1168 1876 2044 2144 2336 3752 4088 4288 4672 4891 7504 8176 9782 15008 16352 19564 30016 32704 34237 39128 68474 78256 136948 156512 273896 313024 547792 1095584 2191168