Search a number
-
+
2204555353440 = 25351137103910861
BaseRepresentation
bin100000000101001001101…
…111010001110101100000
321210202100020211110121120
4200011021233101311200
5242104412132302230
64404431520052240
7315162636214626
oct40051157216540
97722306743546
102204555353440
1177aa4602a4a0
122b7311164080
1312cb7256b04b
14789b5969516
153c52b326310
hex20149bd1d60

2204555353440 has 384 divisors, whose sum is σ = 7788606658560. Its totient is φ = 519445094400.

The previous prime is 2204555353417. The next prime is 2204555353463. The reversal of 2204555353440 is 443535554022.

It is an interprime number because it is at equal distance from previous prime (2204555353417) and next prime (2204555353463).

It is a junction number, because it is equal to n+sod(n) for n = 2204555353392 and 2204555353401.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 202973610 + ... + 202984470.

It is an arithmetic number, because the mean of its divisors is an integer number (20282829840).

Almost surely, 22204555353440 is an apocalyptic number.

2204555353440 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 2204555353440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3894303329280).

2204555353440 is an abundant number, since it is smaller than the sum of its proper divisors (5584051305120).

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

2204555353440 is a wasteful number, since it uses less digits than its factorization.

2204555353440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11966 (or 11958 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 42.

The spelling of 2204555353440 in words is "two trillion, two hundred four billion, five hundred fifty-five million, three hundred fifty-three thousand, four hundred forty".