Search a number
-
+
220040400200 = 23522334721897
BaseRepresentation
bin1100110011101101101…
…1100000110101001000
3210000221222211111101212
43030323123200311020
512101120320301300
6245030221232252
721616543353515
oct3147333406510
9700858744355
10220040400200
1185356084515
123678b102688
13179991a084a
14a9158c230c
155acca20935
hex333b6e0d48

220040400200 has 48 divisors (see below), whose sum is σ = 513789721380. Its totient is φ = 87638389760.

The previous prime is 220040400149. The next prime is 220040400233. The reversal of 220040400200 is 2004040022.

It is a happy number.

220040400200 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 6 ways, for example, as 45281286436 + 174759113764 = 212794^2 + 418042^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2314349 + ... + 2407548.

Almost surely, 2220040400200 is an apocalyptic number.

220040400200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220040400200 is an abundant number, since it is smaller than the sum of its proper divisors (293749321180).

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

220040400200 is a wasteful number, since it uses less digits than its factorization.

220040400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4722146 (or 4722137 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 220040400200 its reverse (2004040022), we get a palindrome (222044440222).

The spelling of 220040400200 in words is "two hundred twenty billion, forty million, four hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 233 466 932 1165 1864 2330 4660 5825 9320 11650 23300 46600 4721897 9443794 18887588 23609485 37775176 47218970 94437940 118047425 188875880 236094850 472189700 944379400 1100202001 2200404002 4400808004 5501010005 8801616008 11002020010 22004040020 27505050025 44008080040 55010100050 110020200100 220040400200