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195531840 = 2633575361
BaseRepresentation
bin10111010011110…
…01010001000000
3111121221001021000
423221321101000
5400024004330
631222532000
74562664450
oct1351712100
9447831230
10195531840
11a0410a69
1255597000
133168161a
141bd7bd60
1512275560
hexba79440

195531840 has 448 divisors, whose sum is σ = 816376320. Its totient is φ = 43130880.

The previous prime is 195531839. The next prime is 195531851. The reversal of 195531840 is 48135591.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 195531795 and 195531804.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3205410 + ... + 3205470.

Almost surely, 2195531840 is an apocalyptic number.

195531840 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 195531840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408188160).

195531840 is an abundant number, since it is smaller than the sum of its proper divisors (620844480).

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

195531840 is a wasteful number, since it uses less digits than its factorization.

195531840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 195531840 is about 13983.2700038296. The cubic root of 195531840 is about 580.4157146489.

The spelling of 195531840 in words is "one hundred ninety-five million, five hundred thirty-one thousand, eight hundred forty".