Search a number
-
+
2150181936 = 243474691
BaseRepresentation
bin1000000000101001…
…0010110000110000
312112211221120010000
42000022102300300
513400421310221
6553205510000
7104166150000
oct20012226060
95484846100
102150181936
11a037a3571
12500112300
1328360b006
141657d0000
15c8b7ae26
hex80292c30

2150181936 has 250 divisors, whose sum is σ = 7270533292. Its totient is φ = 613448640.

The previous prime is 2150181919. The next prime is 2150181937. The reversal of 2150181936 is 6391810512.

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 2150181936.

It is not an unprimeable number, because it can be changed into a prime (2150181937) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 3111351 + ... + 3112041.

Almost surely, 22150181936 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 2150181936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3635266646).

2150181936 is an abundant number, since it is smaller than the sum of its proper divisors (5120351356).

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

2150181936 is an frugal number, since it uses more digits than its factorization.

2150181936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 2150181936 is about 46370.0543023189. The cubic root of 2150181936 is about 1290.6992855451.

The spelling of 2150181936 in words is "two billion, one hundred fifty million, one hundred eighty-one thousand, nine hundred thirty-six".