Search a number
-
+
11224514280 = 2335722382997
BaseRepresentation
bin10100111010000100…
…00111111011101000
31001222020220101221010
422131002013323220
5140441433424110
65053444143520
7545103540300
oct123502077350
931866811833
1011224514280
11483aa44791
122213097ba0
13109b5b5a35
14786a34600
1545a63c020
hex29d087ee8

11224514280 has 192 divisors, whose sum is σ = 40874855040. Its totient is φ = 2454025728.

The previous prime is 11224514263. The next prime is 11224514359. The reversal of 11224514280 is 8241542211.

11224514280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93742 + ... + 176738.

It is an arithmetic number, because the mean of its divisors is an integer number (212889870).

Almost surely, 211224514280 is an apocalyptic number.

11224514280 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 11224514280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20437427520).

11224514280 is an abundant number, since it is smaller than the sum of its proper divisors (29650340760).

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

11224514280 is a wasteful number, since it uses less digits than its factorization.

11224514280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83048 (or 83037 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The spelling of 11224514280 in words is "eleven billion, two hundred twenty-four million, five hundred fourteen thousand, two hundred eighty".