Search a number
-
+
2193892500 = 223541717207
BaseRepresentation
bin1000001011000100…
…0010010010010100
312122220012021201210
42002301002102110
513443114030000
61001410421420
7105236531022
oct20261022224
95586167653
102193892500
11a264389a8
12512891870
1328c6a3757
1416b52b712
15cc912350
hex82c42494

2193892500 has 120 divisors (see below), whose sum is σ = 6773481792. Its totient is φ = 550592000.

The previous prime is 2193892499. The next prime is 2193892549. The reversal of 2193892500 is 52983912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 118897 + ... + 136103.

Almost surely, 22193892500 is an apocalyptic number.

2193892500 is a gapful number since it is divisible by the number (20) 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 2193892500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386740896).

2193892500 is an abundant number, since it is smaller than the sum of its proper divisors (4579589292).

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

2193892500 is a wasteful number, since it uses less digits than its factorization.

2193892500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17251 (or 17234 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 2193892500 is about 46839.0061807464. The cubic root of 2193892500 is about 1299.3867916637.

The spelling of 2193892500 in words is "two billion, one hundred ninety-three million, eight hundred ninety-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 125 150 170 204 250 255 300 340 375 425 500 510 625 750 850 1020 1250 1275 1500 1700 1875 2125 2500 2550 3750 4250 5100 6375 7500 8500 10625 12750 17207 21250 25500 31875 34414 42500 51621 63750 68828 86035 103242 127500 172070 206484 258105 292519 344140 430175 516210 585038 860350 877557 1032420 1170076 1290525 1462595 1720700 1755114 2150875 2581050 2925190 3510228 4301750 4387785 5162100 5850380 6452625 7312975 8603500 8775570 10754375 12905250 14625950 17551140 21508750 21938925 25810500 29251900 32263125 36564875 43017500 43877850 64526250 73129750 87755700 109694625 129052500 146259500 182824375 219389250 365648750 438778500 548473125 731297500 1096946250 2193892500