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2189412072 = 2333291931811
BaseRepresentation
bin1000001001111111…
…1100011011101000
312122120202122202000
42002133330123220
513440442141242
61001130411000
7105153460401
oct20237743350
95576678660
102189412072
11a23958771
12511290a60
1328b795303
1416aac29a8
15cc329a4c
hex827fc6e8

2189412072 has 128 divisors (see below), whose sum is σ = 6327504000. Its totient is φ = 700600320.

The previous prime is 2189412059. The next prime is 2189412077. The reversal of 2189412072 is 2702149812.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2189412077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1208047 + ... + 1209857.

It is an arithmetic number, because the mean of its divisors is an integer number (49433625).

Almost surely, 22189412072 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 2189412072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163752000).

2189412072 is an abundant number, since it is smaller than the sum of its proper divisors (4138091928).

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

2189412072 is a wasteful number, since it uses less digits than its factorization.

2189412072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2189412072 is about 46791.1537793203. The cubic root of 2189412072 is about 1298.5016409374.

The spelling of 2189412072 in words is "two billion, one hundred eighty-nine million, four hundred twelve thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 193 216 232 261 348 386 522 579 696 772 783 1044 1158 1544 1566 1737 1811 2088 2316 3132 3474 3622 4632 5211 5433 5597 6264 6948 7244 10422 10866 11194 13896 14488 16299 16791 20844 21732 22388 32598 33582 41688 43464 44776 48897 50373 52519 65196 67164 97794 100746 105038 130392 134328 151119 157557 195588 201492 210076 302238 315114 349523 391176 402984 420152 472671 604476 630228 699046 945342 1048569 1208952 1260456 1398092 1418013 1890684 2097138 2796184 2836026 3145707 3781368 4194276 5672052 6291414 8388552 9437121 10136167 11344104 12582828 18874242 20272334 25165656 30408501 37748484 40544668 60817002 75496968 81089336 91225503 121634004 182451006 243268008 273676509 364902012 547353018 729804024 1094706036 2189412072