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194828900 = 22527239761
BaseRepresentation
bin10111001110011…
…01101001100100
3111120121100000012
423213031221210
5344334011100
631155505352
74554006200
oct1347155144
9446540005
10194828900
119aa80922
12552b8258
1331496696
141bc37b00
1512187135
hexb9cda64

194828900 has 54 divisors (see below), whose sum is σ = 491816178. Its totient is φ = 66796800.

The previous prime is 194828867. The next prime is 194828903. The reversal of 194828900 is 9828491.

It can be written as a sum of positive squares in 3 ways, for example, as 3136 + 194825764 = 56^2 + 13958^2 .

It is not an unprimeable number, because it can be changed into a prime (194828903) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14981 + ... + 24780.

It is an arithmetic number, because the mean of its divisors is an integer number (9107707).

Almost surely, 2194828900 is an apocalyptic number.

194828900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

194828900 is an abundant number, since it is smaller than the sum of its proper divisors (296987278).

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

194828900 is a wasteful number, since it uses less digits than its factorization.

194828900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39789 (or 39775 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 194828900 is about 13958.1123365590. The cubic root of 194828900 is about 579.7193449932.

It can be divided in two parts, 19482 and 8900, that added together give a palindrome (28382).

The spelling of 194828900 in words is "one hundred ninety-four million, eight hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 39761 79522 159044 198805 278327 397610 556654 795220 994025 1113308 1391635 1948289 1988050 2783270 3896578 3976100 5566540 6958175 7793156 9741445 13916350 19482890 27832700 38965780 48707225 97414450 194828900