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2244104136 = 233319312569
BaseRepresentation
bin1000010111000010…
…0100111111001000
312210101200022011000
42011300210333020
514043442313021
61010402535000
7106416366441
oct20560447710
95711608130
102244104136
11a5181371a
12527667460
13299c04291
1417407c2c8
15d202eb26
hex85c24fc8

2244104136 has 192 divisors, whose sum is σ = 6792120000. Its totient is φ = 684599040.

The previous prime is 2244104077. The next prime is 2244104147. The reversal of 2244104136 is 6314014422.

It is a happy number.

2244104136 is a `hidden beast` number, since 2 + 244 + 1 + 0 + 413 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3943660 + ... + 3944228.

It is an arithmetic number, because the mean of its divisors is an integer number (35375625).

Almost surely, 22244104136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2244104136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396060000).

2244104136 is an abundant number, since it is smaller than the sum of its proper divisors (4548015864).

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

2244104136 is a wasteful number, since it uses less digits than its factorization.

2244104136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2244104136 is about 47371.9762728979. The cubic root of 2244104136 is about 1309.2251377830.

Adding to 2244104136 its reverse (6314014422), we get a palindrome (8558118558).

The spelling of 2244104136 in words is "two billion, two hundred forty-four million, one hundred four thousand, one hundred thirty-six".