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195820064 = 25112919183
BaseRepresentation
bin10111010101111…
…11101000100000
3111122110200121222
423222333220200
5400112220224
631233034212
74565304656
oct1352775040
9448420558
10195820064
11a0598570
12556b5968
133175287b
141c014dd6
15122d0b5e
hexbabfa20

195820064 has 48 divisors (see below), whose sum is σ = 435093120. Its totient is φ = 85935360.

The previous prime is 195820063. The next prime is 195820067. The reversal of 195820064 is 460028591.

It is not an unprimeable number, because it can be changed into a prime (195820063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 617 + ... + 19799.

It is an arithmetic number, because the mean of its divisors is an integer number (9064440).

Almost surely, 2195820064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195820064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217546560).

195820064 is an abundant number, since it is smaller than the sum of its proper divisors (239273056).

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

195820064 is a wasteful number, since it uses less digits than its factorization.

195820064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19233 (or 19225 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 195820064 is about 13993.5722387102. The cubic root of 195820064 is about 580.7007621861.

It can be divided in two parts, 1958 and 20064, that added together give a palindrome (22022).

The spelling of 195820064 in words is "one hundred ninety-five million, eight hundred twenty thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 176 232 319 352 464 638 928 1276 2552 5104 10208 19183 38366 76732 153464 211013 306928 422026 556307 613856 844052 1112614 1688104 2225228 3376208 4450456 6119377 6752416 8900912 12238754 17801824 24477508 48955016 97910032 195820064