Search a number
-
+
195430200 = 233527193179
BaseRepresentation
bin10111010011000…
…00011100111000
3111121201212211120
423221200130320
5400012231300
631220425240
74562062230
oct1351403470
9447655746
10195430200
11a0351669
1255548220
1331647294
141bd52cc0
15122553a0
hexba60738

195430200 has 384 divisors, whose sum is σ = 761856000. Its totient is φ = 40435200.

The previous prime is 195430187. The next prime is 195430211. The reversal of 195430200 is 2034591.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2473761 + ... + 2473839.

It is an arithmetic number, because the mean of its divisors is an integer number (1984000).

Almost surely, 2195430200 is an apocalyptic number.

195430200 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 195430200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380928000).

195430200 is an abundant number, since it is smaller than the sum of its proper divisors (566425800).

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

195430200 is a wasteful number, since it uses less digits than its factorization.

195430200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 195430200 is about 13979.6351883731. The cubic root of 195430200 is about 580.3151279993.

Adding to 195430200 its reverse (2034591), we get a palindrome (197464791).

The spelling of 195430200 in words is "one hundred ninety-five million, four hundred thirty thousand, two hundred".