Search a number
-
+
22073142330 = 234527250793
BaseRepresentation
bin10100100011101010…
…010110110000111010
32002222022111210220000
4110203222112300322
5330201211023310
614050144013430
71410664420431
oct244352266072
962868453800
1022073142330
1193a7793598
124340301276
13210a050b85
1410d5780118
15892c7a4c0
hex523a96c3a

22073142330 has 40 divisors (see below), whose sum is σ = 59352229332. Its totient is φ = 5886171072.

The previous prime is 22073142307. The next prime is 22073142347. The reversal of 22073142330 is 3324137022.

22073142330 is a `hidden beast` number, since 2 + 207 + 3 + 1 + 423 + 30 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20552376321 + 1520766009 = 143361^2 + 38997^2 .

It is a super-2 number, since 2×220731423302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22073142294 and 22073142303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13624587 + ... + 13626206.

Almost surely, 222073142330 is an apocalyptic number.

22073142330 is an abundant number, since it is smaller than the sum of its proper divisors (37279087002).

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

22073142330 is a wasteful number, since it uses less digits than its factorization.

22073142330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27250812 (or 27250803 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

Adding to 22073142330 its reverse (3324137022), we get a palindrome (25397279352).

The spelling of 22073142330 in words is "twenty-two billion, seventy-three million, one hundred forty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 27250793 54501586 81752379 136253965 163504758 245257137 272507930 408761895 490514274 735771411 817523790 1226285685 1471542822 2207314233 2452571370 3678857055 4414628466 7357714110 11036571165 22073142330