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2197000 = 2353133
BaseRepresentation
bin1000011000011000001000
311010121201101
420120120020
51030301000
6115031144
724450151
oct10303010
94117641
102197000
111270703
1289b4b4
135bc000
14412928
152d5e6a
hex218608

2197000 has 64 divisors (see below), whose sum is σ = 5569200. Its totient is φ = 811200.

The previous prime is 2196979. The next prime is 2197021. The reversal of 2197000 is 7912.

The cubic root of 2197000 is 130.

It is a perfect power (a cube), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (2196979) and next prime (2197021).

It can be written as a sum of positive squares in 8 ways, for example, as 1127844 + 1069156 = 1062^2 + 1034^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168994 + ... + 169006.

22197000 is an apocalyptic number.

2197000 is a gapful number since it is divisible by the number (20) 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 2197000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784600).

2197000 is an abundant number, since it is smaller than the sum of its proper divisors (3372200).

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

2197000 is an equidigital number, since it uses as much as digits as its factorization.

2197000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 2197000 is about 1482.2280526289.

The spelling of 2197000 in words is "two million, one hundred ninety-seven thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 169 200 250 260 325 338 500 520 650 676 845 1000 1300 1352 1625 1690 2197 2600 3250 3380 4225 4394 6500 6760 8450 8788 10985 13000 16900 17576 21125 21970 33800 42250 43940 54925 84500 87880 109850 169000 219700 274625 439400 549250 1098500 2197000