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2189414144 = 28431031931
BaseRepresentation
bin1000001001111111…
…1100111100000000
312122120202202120202
42002133330330000
513440442223034
61001130424332
7105153466421
oct20237747400
95576682522
102189414144
11a2395a285
125112920a8
1328b796238
1416aac3648
15cc32a47e
hex827fcf00

2189414144 has 72 divisors (see below), whose sum is σ = 4517665152. Its totient is φ = 1058319360.

The previous prime is 2189414107. The next prime is 2189414147. The reversal of 2189414144 is 4414149812.

It is a junction number, because it is equal to n+sod(n) for n = 2189414098 and 2189414107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2189414147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1132859 + ... + 1134789.

Almost surely, 22189414144 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 2189414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258832576).

2189414144 is an abundant number, since it is smaller than the sum of its proper divisors (2328251008).

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

2189414144 is a wasteful number, since it uses less digits than its factorization.

2189414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2079 counting only the distinct ones).

The product of its digits is 36864, while the sum is 38.

The square root of 2189414144 is about 46791.1759202523. The cubic root of 2189414144 is about 1298.5020505594.

The spelling of 2189414144 in words is "two billion, one hundred eighty-nine million, four hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 43 64 86 103 128 172 206 256 344 412 688 824 1376 1648 1931 2752 3296 3862 4429 5504 6592 7724 8858 11008 13184 15448 17716 26368 30896 35432 61792 70864 83033 123584 141728 166066 198893 247168 283456 332132 397786 494336 566912 664264 795572 1133824 1328528 1591144 2657056 3182288 5314112 6364576 8552399 10628224 12729152 17104798 21256448 25458304 34209596 50916608 68419192 136838384 273676768 547353536 1094707072 2189414144