Search a number
-
+
2191834080 = 25345533191
BaseRepresentation
bin1000001010100100…
…1011101111100000
312122202022201010000
42002221023233200
513442102142310
61001254340000
7105213165552
oct20251135740
95582281100
102191834080
11a25262427
1251205a600
1328c132857
1416b1534d2
15cc6574c0
hex82a4bbe0

2191834080 has 240 divisors, whose sum is σ = 7883767584. Its totient is φ = 573281280.

The previous prime is 2191834039. The next prime is 2191834081. The reversal of 2191834080 is 804381912.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2191834081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 685285 + ... + 688475.

Almost surely, 22191834080 is an apocalyptic number.

2191834080 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 2191834080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3941883792).

2191834080 is an abundant number, since it is smaller than the sum of its proper divisors (5691933504).

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

2191834080 is a wasteful number, since it uses less digits than its factorization.

2191834080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3271 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2191834080 is about 46817.0276715641. The cubic root of 2191834080 is about 1298.9802812105.

The spelling of 2191834080 in words is "two billion, one hundred ninety-one million, eight hundred thirty-four thousand, eighty".