Search a number
-
+
605220020000 = 255455012
BaseRepresentation
bin10001100111010011110…
…11001001111100100000
32010212011211020112202022
420303221323021330200
534403442311120000
61142011221241012
761503626201141
oct10635173117440
92125154215668
10605220020000
11213743a17912
1299366b63168
13450c226293b
1421415659ac8
1510b23285585
hex8ce9ec9f20

605220020000 has 90 divisors (see below), whose sum is σ = 1489202747109. Its totient is φ = 242044000000.

The previous prime is 605220019991. The next prime is 605220020059. The reversal of 605220020000 is 20022506.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

605220020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 77789672464 + 527430347536 = 278908^2 + 726244^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=550100.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 110017250 + ... + 110022750.

Almost surely, 2605220020000 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 605220020000

605220020000 is an abundant number, since it is smaller than the sum of its proper divisors (883982727109).

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

605220020000 is an frugal number, since it uses more digits than its factorization.

605220020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11032 (or 5508 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 605220020000 its reverse (20022506), we get a palindrome (605240042506).

The spelling of 605220020000 in words is "six hundred five billion, two hundred twenty million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 5501 10000 11002 20000 22004 27505 44008 55010 88016 110020 137525 176032 220040 275050 440080 550100 687625 880160 1100200 1375250 2200400 2750500 3438125 4400800 5501000 6876250 11002000 13752500 22004000 27505000 30261001 55010000 60522002 110020000 121044004 151305005 242088008 302610010 484176016 605220020 756525025 968352032 1210440040 1513050050 2420880080 3026100100 3782625125 4841760160 6052200200 7565250250 12104400400 15130500500 18913125625 24208800800 30261001000 37826251250 60522002000 75652502500 121044004000 151305005000 302610010000 605220020000