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195340200 = 2335211171741
BaseRepresentation
bin10111010010010…
…10011110101000
3111121120022101020
423221022132220
5400001341300
631214452440
74561235646
oct1351123650
9447508336
10195340200
11a029aa90
1255504120
1331615323
141bd2c196
15122388a0
hexba4a7a8

195340200 has 192 divisors, whose sum is σ = 699865920. Its totient is φ = 44544000.

The previous prime is 195340193. The next prime is 195340231. The reversal of 195340200 is 2043591.

195340200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111330 + ... + 113070.

It is an arithmetic number, because the mean of its divisors is an integer number (3645135).

Almost surely, 2195340200 is an apocalyptic number.

195340200 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 195340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349932960).

195340200 is an abundant number, since it is smaller than the sum of its proper divisors (504525720).

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

195340200 is a wasteful number, since it uses less digits than its factorization.

195340200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1779 counting only the distinct ones).

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

The square root of 195340200 is about 13976.4158495660. The cubic root of 195340200 is about 580.2260316006.

Adding to 195340200 its reverse (2043591), we get a palindrome (197383791).

The spelling of 195340200 in words is "one hundred ninety-five million, three hundred forty thousand, two hundred".