Search a number
-
+
2191214592 = 2113571737
BaseRepresentation
bin1000001010011011…
…0100100000000000
312122201011020100000
42002212310200000
513441422331332
61001233200000
7105205005510
oct20246644000
95581136300
102191214592
11a24979a56
12511a00000
1328bc768a8
1416b031840
15cc583b7c
hex829b4800

2191214592 has 576 divisors, whose sum is σ = 8156453760. Its totient is φ = 573308928.

The previous prime is 2191214581. The next prime is 2191214593. The reversal of 2191214592 is 2954121912.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (2191214593) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59221998 + ... + 59222034.

It is an arithmetic number, because the mean of its divisors is an integer number (14160510).

Almost surely, 22191214592 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 2191214592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4078226880).

2191214592 is an abundant number, since it is smaller than the sum of its proper divisors (5965239168).

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

2191214592 is an equidigital number, since it uses as much as digits as its factorization.

2191214592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 66 counting only the distinct ones).

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

The square root of 2191214592 is about 46810.4111496577. The cubic root of 2191214592 is about 1298.8578907845.

The spelling of 2191214592 in words is "two billion, one hundred ninety-one million, two hundred fourteen thousand, five hundred ninety-two".