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1938195000 = 23335472293
BaseRepresentation
bin111001110000110…
…1000001000111000
312000002001111201000
41303201220020320
512432134220000
6520154125000
766013246200
oct16341501070
95002044630
101938195000
11905073655
12461120760
1324b717961
141455ab400
15b5255000
hex73868238

1938195000 has 480 divisors, whose sum is σ = 7852798800. Its totient is φ = 441504000.

The previous prime is 1938194983. The next prime is 1938195031. The reversal of 1938195000 is 5918391.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6614854 + ... + 6615146.

Almost surely, 21938195000 is an apocalyptic number.

1938195000 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 1938195000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926399400).

1938195000 is an abundant number, since it is smaller than the sum of its proper divisors (5914603800).

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

1938195000 is a wasteful number, since it uses less digits than its factorization.

1938195000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 1938195000 is about 44024.9361157969. The cubic root of 1938195000 is about 1246.8067829715.

The spelling of 1938195000 in words is "one billion, nine hundred thirty-eight million, one hundred ninety-five thousand".