Search a number
-
+
23222441405501 = 1329137449620349
BaseRepresentation
bin1010100011110111001010…
…10111101110110000111101
310001020001011212110222120222
411101323211113232300331
511020434024444434001
6121220124200551125
74614523514024132
oct521734527566075
9101201155428528
1023222441405501
117443644847028
1227307b87824a5
13cc5b36562870
145a3d87878589
152a4107cbe61b
hex151ee55eec3d

23222441405501 has 16 divisors (see below), whose sum is σ = 26059995486000. Its totient is φ = 20545851422208.

The previous prime is 23222441405447. The next prime is 23222441405521. The reversal of 23222441405501 is 10550414422232.

It can be written as a sum of positive squares in 8 ways, for example, as 2608389732601 + 20614051672900 = 1615051^2 + 4540270^2 .

It is a cyclic number.

It is not a de Polignac number, because 23222441405501 - 230 = 23221367663677 is a prime.

It is a super-2 number, since 2×232224414055012 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23222441405521) 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, 224758526 + ... + 224861823.

It is an arithmetic number, because the mean of its divisors is an integer number (1628749717875).

Almost surely, 223222441405501 is an apocalyptic number.

It is an amenable number.

23222441405501 is a deficient number, since it is larger than the sum of its proper divisors (2837554080499).

23222441405501 is a wasteful number, since it uses less digits than its factorization.

23222441405501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449620528.

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 23222441405501 its reverse (10550414422232), we get a palindrome (33772855827733).

The spelling of 23222441405501 in words is "twenty-three trillion, two hundred twenty-two billion, four hundred forty-one million, four hundred five thousand, five hundred one".

Divisors: 1 13 29 137 377 1781 3973 51649 449620349 5845064537 13038990121 61597987813 169506871573 800773841569 1786341646577 23222441405501