Search a number
-
+
1993232384 = 21211134183
BaseRepresentation
bin111011011001110…
…0101000000000000
312010220121200210122
41312303211000000
513040231414014
6525441515412
7100252124063
oct16663450000
95126550718
101993232384
11933144aa0
12477642b68
13259c47b60
1414ca168da
15b9ec758e
hex76ce5000

1993232384 has 208 divisors, whose sum is σ = 4854838464. Its totient is φ = 806092800.

The previous prime is 1993232383. The next prime is 1993232399. The reversal of 1993232384 is 4832323991.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1993232383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24014807 + ... + 24014889.

Almost surely, 21993232384 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 1993232384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427419232).

1993232384 is an abundant number, since it is smaller than the sum of its proper divisors (2861606080).

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

1993232384 is a wasteful number, since it uses less digits than its factorization.

1993232384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 150 counting only the distinct ones).

The product of its digits is 279936, while the sum is 44.

The square root of 1993232384 is about 44645.6311860410. The cubic root of 1993232384 is about 1258.4983336439.

The spelling of 1993232384 in words is "one billion, nine hundred ninety-three million, two hundred thirty-two thousand, three hundred eighty-four".