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2197128 = 233432129
BaseRepresentation
bin1000011000011010001000
311010121220010
420120122020
51030302003
6115031520
724450423
oct10303210
94117803
102197128
11127080a
1289b5a0
135bc09b
144129ba
152d6003
hex218688

2197128 has 32 divisors (see below), whose sum is σ = 5623200. Its totient is φ = 715008.

The previous prime is 2197087. The next prime is 2197157. The reversal of 2197128 is 8217912.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2197095 and 2197104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33 + ... + 2096.

It is an arithmetic number, because the mean of its divisors is an integer number (175725).

22197128 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 2197128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2811600).

2197128 is an abundant number, since it is smaller than the sum of its proper divisors (3426072).

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

2197128 is a wasteful number, since it uses less digits than its factorization.

2197128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2177 counting only the distinct ones).

The product of its digits is 2016, while the sum is 30.

The square root of 2197128 is about 1482.2712302409. The cubic root of 2197128 is about 130.0025246058.

The spelling of 2197128 in words is "two million, one hundred ninety-seven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 2129 4258 6387 8516 12774 17032 25548 51096 91547 183094 274641 366188 549282 732376 1098564 2197128