Search a number
-
+
2130288336 = 243411237389
BaseRepresentation
bin111111011111001…
…1001111011010000
312111110111212020000
41332332121323100
513330323211321
6551215250000
7103535103111
oct17676317320
95443455200
102130288336
119a3546180
124b5519900
1327c464157
14162cd2208
15c704b826
hex7ef99ed0

2130288336 has 400 divisors, whose sum is σ = 7194718080. Its totient is φ = 602173440.

The previous prime is 2130288319. The next prime is 2130288337. The reversal of 2130288336 is 6338820312.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2130288336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130288337) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23935780 + ... + 23935868.

Almost surely, 22130288336 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 2130288336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3597359040).

2130288336 is an abundant number, since it is smaller than the sum of its proper divisors (5064429744).

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

2130288336 is a wasteful number, since it uses less digits than its factorization.

2130288336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2130288336 is about 46155.0467013088. The cubic root of 2130288336 is about 1286.7064060438.

The spelling of 2130288336 in words is "two billion, one hundred thirty million, two hundred eighty-eight thousand, three hundred thirty-six".