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2193289648 = 241143614751
BaseRepresentation
bin1000001010111010…
…1111000110110000
312122212001122202221
42002232233012300
513442440232043
61001345450424
7105231440314
oct20256570660
95585048687
102193289648
11a26066a80
12512640a14
1328c522234
1416b411b44
15cc8438ed
hex82baf1b0

2193289648 has 80 divisors (see below), whose sum is σ = 4822405632. Its totient is φ = 957600000.

The previous prime is 2193289621. The next prime is 2193289673. The reversal of 2193289648 is 8469823912.

It is a junction number, because it is equal to n+sod(n) for n = 2193289595 and 2193289604.

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, 459273 + ... + 464023.

Almost surely, 22193289648 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 2193289648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411202816).

2193289648 is an abundant number, since it is smaller than the sum of its proper divisors (2629115984).

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

2193289648 is a wasteful number, since it uses less digits than its factorization.

2193289648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4874 (or 4868 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 52.

The square root of 2193289648 is about 46832.5703757545. The cubic root of 2193289648 is about 1299.2677627859.

The spelling of 2193289648 in words is "two billion, one hundred ninety-three million, two hundred eighty-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 43 44 61 86 88 122 172 176 244 344 473 488 671 688 946 976 1342 1892 2623 2684 3784 4751 5246 5368 7568 9502 10492 10736 19004 20984 28853 38008 41968 52261 57706 76016 104522 115412 204293 209044 230824 289811 408586 418088 461648 579622 817172 836176 1159244 1634344 2247223 2318488 3187921 3268688 4494446 4636976 6375842 8988892 12461873 12751684 17977784 24923746 25503368 35955568 49847492 51006736 99694984 137080603 199389968 274161206 548322412 1096644824 2193289648