Search a number
-
+
2220034030401 = 311230029203663
BaseRepresentation
bin100000010011100100010…
…101101111101101000001
321212020021222200201122110
4200103210111233231001
5242333112202433101
64415511453525533
7316251340621665
oct40234425575501
97766258621573
102220034030401
11786569374600
122ba310aa38a9
1313146b3147b5
14796435948a5
153cb35190cd6
hex204e456fb41

2220034030401 has 24 divisors (see below), whose sum is σ = 3253727917440. Its totient is φ = 1345423757920.

The previous prime is 2220034030339. The next prime is 2220034030457. The reversal of 2220034030401 is 1040304300222.

It is not a de Polignac number, because 2220034030401 - 211 = 2220034028353 is a prime.

It is a super-2 number, since 2×22200340304012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2220034030471) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10798696 + ... + 11002358.

It is an arithmetic number, because the mean of its divisors is an integer number (135571996560).

Almost surely, 22220034030401 is an apocalyptic number.

It is an amenable number.

2220034030401 is a deficient number, since it is larger than the sum of its proper divisors (1033693887039).

2220034030401 is a wasteful number, since it uses less digits than its factorization.

2220034030401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233717 (or 233706 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 2220034030401 its reverse (1040304300222), we get a palindrome (3260338330623).

The spelling of 2220034030401 in words is "two trillion, two hundred twenty billion, thirty-four million, thirty thousand, four hundred one".

Divisors: 1 3 11 33 121 363 30029 90087 203663 330319 610989 990957 2240293 3633509 6720879 10900527 24643223 73929669 6115796227 18347388681 67273758497 201821275491 740011343467 2220034030401