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2224040200031 = 134322917373821
BaseRepresentation
bin100000010111010011001…
…000000100011101011111
321212121122012000020020102
4200113103020010131133
5242414313242400111
64421413204011315
7316452534532556
oct40272310043537
97777565006212
102224040200031
117882347920a1
122bb04a690b3b
131319592b6480
1479903672d9d
153ccbbc3413b
hex205d320475f

2224040200031 has 16 divisors (see below), whose sum is σ = 2461523100960. Its totient is φ = 1996460403840.

The previous prime is 2224040200009. The next prime is 2224040200037. The reversal of 2224040200031 is 1300020404222.

It is a cyclic number.

It is not a de Polignac number, because 2224040200031 - 238 = 1949162293087 is a prime.

It is a super-2 number, since 2×22240402000312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2224040199976 and 2224040200012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224040200037) 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 15 ways as a sum of consecutive naturals, for example, 8558900 + ... + 8814921.

It is an arithmetic number, because the mean of its divisors is an integer number (153845193810).

Almost surely, 22224040200031 is an apocalyptic number.

2224040200031 is a deficient number, since it is larger than the sum of its proper divisors (237482900929).

2224040200031 is a wasteful number, since it uses less digits than its factorization.

2224040200031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17374106.

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 2224040200031 its reverse (1300020404222), we get a palindrome (3524060604253).

The spelling of 2224040200031 in words is "two trillion, two hundred twenty-four billion, forty million, two hundred thousand, thirty-one".

Divisors: 1 13 43 229 559 2977 9847 128011 17373821 225859673 747074303 3978605009 9711965939 51721865117 171080015387 2224040200031