Search a number
-
+
2244411200000 = 295510313619
BaseRepresentation
bin100000101010010001010…
…101010001001000000000
321221120012212122020202202
4200222101111101020000
5243233023231400000
64435022425132332
7321103413266204
oct40522125211000
97846185566682
102244411200000
11795938679962
12302b9492a0a8
131338547ba8c8
147a8b6d30b04
153d5b0335dd5
hex20a91551200

2244411200000 has 240 divisors, whose sum is σ = 5660024610240. Its totient is φ = 888983040000.

The previous prime is 2244411199991. The next prime is 2244411200011. The reversal of 2244411200000 is 21144422.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164793191 + ... + 164806809.

It is an arithmetic number, because the mean of its divisors is an integer number (23583435876).

Almost surely, 22244411200000 is an apocalyptic number.

2244411200000 is a gapful number since it is divisible by the number (20) 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 2244411200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830012305120).

2244411200000 is an abundant number, since it is smaller than the sum of its proper divisors (3415613410240).

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

2244411200000 is an frugal number, since it uses more digits than its factorization.

2244411200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13765 (or 13729 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 2244411200000 its reverse (21144422), we get a palindrome (2244432344422).

The spelling of 2244411200000 in words is "two trillion, two hundred forty-four billion, four hundred eleven million, two hundred thousand".