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195313000 = 23531711489
BaseRepresentation
bin10111010010000…
…11110101101000
3111121111221001211
423221003311220
5400000004000
631214122504
74561063441
oct1351036550
9447457054
10195313000
11a0281603
12554b0434
1331605b2c
141bd222c8
15122307ba
hexba43d68

195313000 has 64 divisors (see below), whose sum is σ = 483958800. Its totient is φ = 73523200.

The previous prime is 195312979. The next prime is 195313031. The reversal of 195313000 is 313591.

195313000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6360484 + 188952516 = 2522^2 + 13746^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11256 + ... + 22744.

Almost surely, 2195313000 is an apocalyptic number.

195313000 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 195313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241979400).

195313000 is an abundant number, since it is smaller than the sum of its proper divisors (288645800).

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

195313000 is a wasteful number, since it uses less digits than its factorization.

195313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11527 (or 11513 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 22.

The square root of 195313000 is about 13975.4427479061. The cubic root of 195313000 is about 580.1990993040.

Adding to 195313000 its reverse (313591), we get a palindrome (195626591).

The spelling of 195313000 in words is "one hundred ninety-five million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 11489 17000 22978 45956 57445 91912 114890 195313 229780 287225 390626 459560 574450 781252 976565 1148900 1436125 1562504 1953130 2297800 2872250 3906260 4882825 5744500 7812520 9765650 11489000 19531300 24414125 39062600 48828250 97656500 195313000