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2193382128 = 243726324821
BaseRepresentation
bin1000001010111100…
…0101101011110000
312122212020100122010
42002233011223300
513443001212003
61001351442520
7105232304040
oct20257055360
95585210563
102193382128
11a2611a503
12512686440
1328c555362
1416b437720
15cc861003
hex82bc5af0

2193382128 has 80 divisors (see below), whose sum is σ = 6500583936. Its totient is φ = 624272640.

The previous prime is 2193382123. The next prime is 2193382151. The reversal of 2193382128 is 8212833912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2193382123) 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, 75958 + ... + 100778.

Almost surely, 22193382128 is an apocalyptic number.

2193382128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2193382128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3250291968).

2193382128 is an abundant number, since it is smaller than the sum of its proper divisors (4307201808).

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

2193382128 is a wasteful number, since it uses less digits than its factorization.

2193382128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25102 (or 25096 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 2193382128 is about 46833.5577123925. The cubic root of 2193382128 is about 1299.2860237262.

The spelling of 2193382128 in words is "two billion, one hundred ninety-three million, three hundred eighty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 263 336 526 789 1052 1578 1841 2104 3156 3682 4208 5523 6312 7364 11046 12624 14728 22092 24821 29456 44184 49642 74463 88368 99284 148926 173747 198568 297852 347494 397136 521241 595704 694988 1042482 1191408 1389976 2084964 2779952 4169928 6527923 8339856 13055846 19583769 26111692 39167538 45695461 52223384 78335076 91390922 104446768 137086383 156670152 182781844 274172766 313340304 365563688 548345532 731127376 1096691064 2193382128