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2244450096 = 243272312331
BaseRepresentation
bin1000010111000111…
…1001011100110000
312210102022212201100
42011301321130300
514044034400341
61010414204400
7106422340200
oct20561713460
95712285640
102244450096
11a51a2a639
125277b3700
13299cc58a5
1417412c400
15d209c3b6
hex85c79730

2244450096 has 270 divisors, whose sum is σ = 7572987396. Its totient is φ = 618710400.

The previous prime is 2244450037. The next prime is 2244450113. The reversal of 2244450096 is 6900544422.

2244450096 is a `hidden beast` number, since 2 + 24 + 44 + 500 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2244450096.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6780651 + ... + 6780981.

Almost surely, 22244450096 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 2244450096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3786493698).

2244450096 is an abundant number, since it is smaller than the sum of its proper divisors (5328537300).

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

2244450096 is a wasteful number, since it uses less digits than its factorization.

2244450096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2244450096 is about 47375.6276581113. The cubic root of 2244450096 is about 1309.2924127738.

The spelling of 2244450096 in words is "two billion, two hundred forty-four million, four hundred fifty thousand, ninety-six".