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22414440401331 = 3112153315478619
BaseRepresentation
bin1010001100010110001001…
…10000100000100110110011
32221100210120220001010020120
411012023010300200212303
510414214233220320311
6115401015103141323
74502250504560256
oct506130460404663
987323526033216
1022414440401331
117161a022994a0
12262009a8a4843
13c67898ab0cc4
14576c16a6709d
1528d0b7384706
hex1462c4c209b3

22414440401331 has 16 divisors (see below), whose sum is σ = 32617965479040. Its totient is φ = 13578199718720.

The previous prime is 22414440401321. The next prime is 22414440401347. The reversal of 22414440401331 is 13310404441422.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 22414440401331 - 210 = 22414440400307 is a prime.

It is a super-2 number, since 2×224144404013312 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 22414440401292 and 22414440401301.

It is not an unprimeable number, because it can be changed into a prime (22414440401321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157668261 + ... + 157810358.

It is an arithmetic number, because the mean of its divisors is an integer number (2038622842440).

Almost surely, 222414440401331 is an apocalyptic number.

22414440401331 is a deficient number, since it is larger than the sum of its proper divisors (10203525077709).

22414440401331 is a wasteful number, since it uses less digits than its factorization.

22414440401331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315480786.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 22414440401331 its reverse (13310404441422), we get a palindrome (35724844842753).

The spelling of 22414440401331 in words is "twenty-two trillion, four hundred fourteen billion, four hundred forty million, four hundred one thousand, three hundred thirty-one".

Divisors: 1 3 11 33 2153 6459 23683 71049 315478619 946435857 3470264809 10410794427 679225466707 2037676400121 7471480133777 22414440401331