Search a number
-
+
2189668600 = 235271564049
BaseRepresentation
bin1000001010000011…
…1011000011111000
312122121020200122001
42002200323003320
513441023343400
61001140110344
7105155606320
oct20240730370
95577220561
102189668600
11a24013479
125113953b4
1328b854cc2
1416ab4c280
15cc37aa6a
hex8283b0f8

2189668600 has 48 divisors (see below), whose sum is σ = 5818266000. Its totient is φ = 750743040.

The previous prime is 2189668589. The next prime is 2189668703. The reversal of 2189668600 is 68669812.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 780625 + ... + 783424.

It is an arithmetic number, because the mean of its divisors is an integer number (121213875).

Almost surely, 22189668600 is an apocalyptic number.

2189668600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2189668600 is an abundant number, since it is smaller than the sum of its proper divisors (3628597400).

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

2189668600 is a wasteful number, since it uses less digits than its factorization.

2189668600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564072 (or 1564063 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The square root of 2189668600 is about 46793.8949009377. The cubic root of 2189668600 is about 1298.5523530325.

The spelling of 2189668600 in words is "two billion, one hundred eighty-nine million, six hundred sixty-eight thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 1564049 3128098 6256196 7820245 10948343 12512392 15640490 21896686 31280980 39101225 43793372 54741715 62561960 78202450 87586744 109483430 156404900 218966860 273708575 312809800 437933720 547417150 1094834300 2189668600