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22310154132 = 22372271140009
BaseRepresentation
bin10100110001110010…
…011110111110010100
32010120211111020221220
4110301302132332110
5331142344413012
614125452010340
71416603116100
oct246162367624
963524436856
1022310154132
119509556012
1243a77609b0
132147196846
141119038900
158a899608c
hex531c9ef94

22310154132 has 72 divisors (see below), whose sum is σ = 60780021120. Its totient is φ = 6350762880.

The previous prime is 22310154131. The next prime is 22310154137. The reversal of 22310154132 is 23145101322.

It is a super-3 number, since 3×223101541323 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22310154131) 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, 89344 + ... + 229352.

It is an arithmetic number, because the mean of its divisors is an integer number (844166960).

Almost surely, 222310154132 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 22310154132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30390010560).

22310154132 is an abundant number, since it is smaller than the sum of its proper divisors (38469866988).

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

22310154132 is a wasteful number, since it uses less digits than its factorization.

22310154132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140301 (or 140292 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 22310154132 its reverse (23145101322), we get a palindrome (45455255454).

The spelling of 22310154132 in words is "twenty-two billion, three hundred ten million, one hundred fifty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 271 294 542 588 813 1084 1626 1897 3252 3794 5691 7588 11382 13279 22764 26558 39837 53116 79674 140009 159348 280018 420027 560036 840054 980063 1680108 1960126 2940189 3920252 5880378 6860441 11760756 13720882 20581323 27441764 37942439 41162646 75884878 82325292 113827317 151769756 227654634 265597073 455309268 531194146 796791219 1062388292 1593582438 1859179511 3187164876 3718359022 5577538533 7436718044 11155077066 22310154132