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22513434324 = 22319210634889
BaseRepresentation
bin10100111101111001…
…111011111011010100
32011002222222221221220
4110331321323323110
5332101414344244
614201553010340
71424622014523
oct247571737324
964088887856
1022513434324
119603279477
1244438539b0
13217a32bb94
1411380324ba
158bb74c319
hex53de7bed4

22513434324 has 72 divisors (see below), whose sum is σ = 55505177280. Its totient is φ = 7101364608.

The previous prime is 22513434323. The next prime is 22513434353. The reversal of 22513434324 is 42343431522.

It is a super-2 number, since 2×225134343242 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22513434323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4602472 + ... + 4607360.

It is an arithmetic number, because the mean of its divisors is an integer number (770905240).

Almost surely, 222513434324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22513434324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27752588640).

22513434324 is an abundant number, since it is smaller than the sum of its proper divisors (32991742956).

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

22513434324 is a wasteful number, since it uses less digits than its factorization.

22513434324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5997 (or 5976 counting only the distinct ones).

The product of its digits is 69120, while the sum is 33.

Adding to 22513434324 its reverse (42343431522), we get a palindrome (64856865846).

The spelling of 22513434324 in words is "twenty-two billion, five hundred thirteen million, four hundred thirty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 361 722 1063 1083 1444 2126 2166 3189 4252 4332 4889 6378 9778 12756 14667 19556 20197 29334 40394 58668 60591 80788 92891 121182 185782 242364 278673 371564 383743 557346 767486 1114692 1151229 1534972 1764929 2302458 3529858 4604916 5197007 5294787 7059716 10394014 10589574 15591021 20788028 21179148 31182042 62364084 98743133 197486266 296229399 394972532 592458798 1184917596 1876119527 3752239054 5628358581 7504478108 11256717162 22513434324