Search a number
-
+
11227650000 = 24355717237
BaseRepresentation
bin10100111010011100…
…00101011111010000
31001222110210201022220
422131032011133100
5140443234300000
65054035301040
7545142310320
oct123516053720
931873721286
1011227650000
114841796696
12221414a780
13109c1430a8
1478720d280
1545aa5b1a0
hex29d3857d0

11227650000 has 720 divisors, whose sum is σ = 45202856832. Its totient is φ = 2350080000.

The previous prime is 11227649971. The next prime is 11227650001. The reversal of 11227650000 is 5672211.

11227650000 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11227650001) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 303449982 + ... + 303450018.

Almost surely, 211227650000 is an apocalyptic number.

11227650000 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 11227650000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22601428416).

11227650000 is an abundant number, since it is smaller than the sum of its proper divisors (33975206832).

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

11227650000 is an equidigital number, since it uses as much as digits as its factorization.

11227650000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The spelling of 11227650000 in words is "eleven billion, two hundred twenty-seven million, six hundred fifty thousand".