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195312500 = 22511
BaseRepresentation
bin10111010010000…
…11101101110100
3111121111220101022
423221003231310
5400000000000
631214120312
74561062125
oct1351035564
9447456338
10195312500
11a0281199
12554b0098
1331605836
141bd2204c
1512230585
hexba43b74

195312500 has 36 divisors (see below), whose sum is σ = 427246092. Its totient is φ = 78125000.

The previous prime is 195312463. The next prime is 195312503. The reversal of 195312500 is 5213591.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 27920656 + 167391844 = 5284^2 + 12938^2 .

It is a nialpdrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 195312500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195312503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39062498 + ... + 39062502.

It is an arithmetic number, because the mean of its divisors is an integer number (11867947).

Almost surely, 2195312500 is an apocalyptic number.

195312500 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 195312500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213623046).

195312500 is an abundant number, since it is smaller than the sum of its proper divisors (231933592).

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

195312500 is an frugal number, since it uses more digits than its factorization.

195312500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 26.

The square root of 195312500 is about 13975.4248593737. The cubic root of 195312500 is about 580.1986042016.

The spelling of 195312500 in words is "one hundred ninety-five million, three hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 3125 6250 12500 15625 31250 62500 78125 156250 312500 390625 781250 1562500 1953125 3906250 7812500 9765625 19531250 39062500 48828125 97656250 195312500