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2188641 = 37138017
BaseRepresentation
bin1000010110010101100001
311010012020210
420112111201
51030014031
6114524333
724413610
oct10262541
94105223
102188641
1112653a4
128966a9
135b8270
1440d877
152d3746
hex216561

2188641 has 16 divisors (see below), whose sum is σ = 3592064. Its totient is φ = 1154304.

The previous prime is 2188639. The next prime is 2188651. The reversal of 2188641 is 1468812.

It is not a de Polignac number, because 2188641 - 21 = 2188639 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 2188599 and 2188608.

It is not an unprimeable number, because it can be changed into a prime (2188651) 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, 3736 + ... + 4281.

It is an arithmetic number, because the mean of its divisors is an integer number (224504).

22188641 is an apocalyptic number.

2188641 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2188641 is a deficient number, since it is larger than the sum of its proper divisors (1403423).

2188641 is a wasteful number, since it uses less digits than its factorization.

2188641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8040.

The product of its digits is 3072, while the sum is 30.

The square root of 2188641 is about 1479.4056238909. The cubic root of 2188641 is about 129.8349186643.

The spelling of 2188641 in words is "two million, one hundred eighty-eight thousand, six hundred forty-one".

Divisors: 1 3 7 13 21 39 91 273 8017 24051 56119 104221 168357 312663 729547 2188641