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22313032144 = 2413211297309
BaseRepresentation
bin10100110001111101…
…011101100111010000
32010121000220110211221
4110301331131213100
5331144114012034
614130033414424
71416636433564
oct246175354720
963530813757
1022313032144
119510141337
1243a870a414
132147963800
1411195876a4
158a8d63bb4
hex531f5d9d0

22313032144 has 60 divisors (see below), whose sum is σ = 46860681900. Its totient is φ = 10287793152.

The previous prime is 22313032141. The next prime is 22313032207. The reversal of 22313032144 is 44123031322.

It can be written as a sum of positive squares in 6 ways, for example, as 8486094400 + 13826937744 = 92120^2 + 117588^2 .

It is a super-3 number, since 3×223130321443 (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 (22313032141) 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 11 ways as a sum of consecutive naturals, for example, 3049162 + ... + 3056470.

It is an arithmetic number, because the mean of its divisors is an integer number (781011365).

Almost surely, 222313032144 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 22313032144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23430340950).

22313032144 is an abundant number, since it is smaller than the sum of its proper divisors (24547649756).

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

22313032144 is a wasteful number, since it uses less digits than its factorization.

22313032144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8472 (or 8453 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 22313032144 its reverse (44123031322), we get a palindrome (66436063466).

The spelling of 22313032144 in words is "twenty-two billion, three hundred thirteen million, thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1129 1352 2258 2704 4516 7309 9032 14618 14677 18064 29236 29354 58472 58708 95017 116944 117416 190034 190801 234832 380068 381602 760136 763204 1235221 1520272 1526408 2470442 3052816 4940884 8251861 9881768 16503722 19763536 33007444 66014888 107274193 132029776 214548386 429096772 858193544 1394564509 1716387088 2789129018 5578258036 11156516072 22313032144