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2241288192 = 211311132551
BaseRepresentation
bin1000010110010111…
…0101100000000000
312210012101020101210
42011211311200000
514042232210232
61010222330120
7106353430623
oct20545654000
95705336353
102241288192
11a5016aaa0
12526729940
13299459640
14173947dba
15d1b755cc
hex85975800

2241288192 has 192 divisors, whose sum is σ = 7022695680. Its totient is φ = 626688000.

The previous prime is 2241288151. The next prime is 2241288227. The reversal of 2241288192 is 2918821422.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2241288192.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 877317 + ... + 879867.

It is an arithmetic number, because the mean of its divisors is an integer number (36576540).

Almost surely, 22241288192 is an apocalyptic number.

2241288192 is a gapful number since it is divisible by the number (22) 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 2241288192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3511347840).

2241288192 is an abundant number, since it is smaller than the sum of its proper divisors (4781407488).

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

2241288192 is a wasteful number, since it uses less digits than its factorization.

2241288192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2600 (or 2580 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 2241288192 is about 47342.2453206436. The cubic root of 2241288192 is about 1308.6772951440.

It can be divided in two parts, 22 and 41288192, that added together give a palindrome (41288214).

The spelling of 2241288192 in words is "two billion, two hundred forty-one million, two hundred eighty-eight thousand, one hundred ninety-two".