Search a number
-
+
2201001120 = 25335577883
BaseRepresentation
bin1000001100110000…
…1001110010100000
312200101120102221000
42003030021302200
514001424013440
61002223032000
7105354125613
oct20314116240
95611512830
102201001120
11a2a45379a
1251513b600
13290cc2236
1416c45c17a
15cd368730
hex83309ca0

2201001120 has 192 divisors, whose sum is σ = 7725594240. Its totient is φ = 585252864.

The previous prime is 2201001109. The next prime is 2201001151. The reversal of 2201001120 is 211001022.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2492199 + ... + 2493081.

It is an arithmetic number, because the mean of its divisors is an integer number (40237470).

Almost surely, 22201001120 is an apocalyptic number.

2201001120 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 2201001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862797120).

2201001120 is an abundant number, since it is smaller than the sum of its proper divisors (5524593120).

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

2201001120 is a wasteful number, since it uses less digits than its factorization.

2201001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2201001120 is about 46914.8283594857. The cubic root of 2201001120 is about 1300.7886969511.

Adding to 2201001120 its reverse (211001022), we get a palindrome (2412002142).

The spelling of 2201001120 in words is "two billion, two hundred one million, one thousand, one hundred twenty".