Search a number
-
+
2194126080 = 283517192961
BaseRepresentation
bin1000001011000111…
…1011010100000000
312122220122011010220
42002301323110000
513443144013310
61001415423040
7105241523016
oct20261732400
95586564126
102194126080
11a26588443
12512984a80
1328c755b73
1416b58c8b6
15cc95b670
hex82c7b500

2194126080 has 576 divisors, whose sum is σ = 8211974400. Its totient is φ = 495452160.

The previous prime is 2194126003. The next prime is 2194126093. The reversal of 2194126080 is 806214912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35969250 + ... + 35969310.

It is an arithmetic number, because the mean of its divisors is an integer number (14256900).

Almost surely, 22194126080 is an apocalyptic number.

2194126080 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 2194126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4105987200).

2194126080 is an abundant number, since it is smaller than the sum of its proper divisors (6017848320).

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

2194126080 is a wasteful number, since it uses less digits than its factorization.

2194126080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 2194126080 is about 46841.4995490110. The cubic root of 2194126080 is about 1299.4329045272.

The spelling of 2194126080 in words is "two billion, one hundred ninety-four million, one hundred twenty-six thousand, eighty".