Search a number
-
+
2162191360 = 21057234361
BaseRepresentation
bin1000000011100000…
…0110110000000000
312120200112200221111
42000320012300000
513412010110420
6554315133104
7104403215620
oct20070066000
95520480844
102162191360
11a0a55640a
12504144194
13285c54394
14167238880
15c9c4e45a
hex80e06c00

2162191360 has 352 divisors, whose sum is σ = 6433016832. Its totient is φ = 681246720.

The previous prime is 2162191357. The next prime is 2162191373. The reversal of 2162191360 is 631912612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35445730 + ... + 35445790.

It is an arithmetic number, because the mean of its divisors is an integer number (18275616).

Almost surely, 22162191360 is an apocalyptic number.

2162191360 is a gapful number since it is divisible by the number (20) 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 2162191360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3216508416).

2162191360 is an abundant number, since it is smaller than the sum of its proper divisors (4270825472).

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

2162191360 is a wasteful number, since it uses less digits than its factorization.

2162191360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 2162191360 is about 46499.3694580905. The cubic root of 2162191360 is about 1293.0978090506.

The spelling of 2162191360 in words is "two billion, one hundred sixty-two million, one hundred ninety-one thousand, three hundred sixty".