Search a number
-
+
1100220000 = 25354111667
BaseRepresentation
bin100000110010100…
…0000011001100000
32211200020222002220
41001211000121200
54223124020000
6301101311040
736156500325
oct10145003140
92750228086
101100220000
11515055630
12268565480
13146c29b69
14a6198b4c
15668cb1a0
hex41940660

1100220000 has 240 divisors, whose sum is σ = 3939388992. Its totient is φ = 266560000.

The previous prime is 1100219993. The next prime is 1100220007. The reversal of 1100220000 is 220011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1100219993) and next prime (1100220007).

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 (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100220007) 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, 659167 + ... + 660833.

Almost surely, 21100220000 is an apocalyptic number.

1100220000 is a gapful number since it is divisible by the number (10) 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 1100220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969694496).

1100220000 is an abundant number, since it is smaller than the sum of its proper divisors (2839168992).

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

1100220000 is a wasteful number, since it uses less digits than its factorization.

1100220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1100220000 is about 33169.5643625297. The cubic root of 1100220000 is about 1032.3489295433.

Adding to 1100220000 its reverse (220011), we get a palindrome (1100440011).

The spelling of 1100220000 in words is "one billion, one hundred million, two hundred twenty thousand".