Search a number
-
+
194915700 = 223352710313
BaseRepresentation
bin10111001111000…
…10110101110100
3111120202202002000
423213202311310
5344344300300
631201415300
74554520230
oct1347426564
9446682060
10194915700
11a0030061
125533a530
13314c7045
141bc5b5c0
15121a2c00
hexb9e2d74

194915700 has 144 divisors (see below), whose sum is σ = 716204160. Its totient is φ = 44547840.

The previous prime is 194915687. The next prime is 194915701. The reversal of 194915700 is 7519491.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194915701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13744 + ... + 24056.

It is an arithmetic number, because the mean of its divisors is an integer number (4973640).

Almost surely, 2194915700 is an apocalyptic number.

194915700 is a gapful number since it is divisible by the number (10) 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 194915700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358102080).

194915700 is an abundant number, since it is smaller than the sum of its proper divisors (521288460).

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

194915700 is a wasteful number, since it uses less digits than its factorization.

194915700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10343 (or 10330 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 194915700 is about 13961.2212932823. The cubic root of 194915700 is about 579.8054242285.

The spelling of 194915700 in words is "one hundred ninety-four million, nine hundred fifteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 50 54 60 63 70 75 84 90 100 105 108 126 135 140 150 175 180 189 210 225 252 270 300 315 350 378 420 450 525 540 630 675 700 756 900 945 1050 1260 1350 1575 1890 2100 2700 3150 3780 4725 6300 9450 10313 18900 20626 30939 41252 51565 61878 72191 92817 103130 123756 144382 154695 185634 206260 216573 257825 278451 288764 309390 360955 371268 433146 464085 515650 556902 618780 649719 721910 773475 866292 928170 1031300 1082865 1113804 1299438 1392255 1443820 1546950 1804775 1856340 1949157 2165730 2320425 2598876 2784510 3093900 3248595 3609550 3898314 4331460 4640850 5414325 5569020 6497190 6961275 7219100 7796628 9281700 9745785 10828650 12994380 13922550 16242975 19491570 21657300 27845100 32485950 38983140 48728925 64971900 97457850 194915700