Search a number
-
+
22223013321223 = 11131741292213977
BaseRepresentation
bin1010000110110001100101…
…10100001001101000000111
32220200111111000012212222201
411003120302310021220013
510403100212402234343
6115133040020335331
74452362662334641
oct503306264115007
986614430185881
1022223013321223
1170987aa737960
1225aab76244547
13c5280c90b8c0
1456b857387891
1528811187994d
hex143632d09a07

22223013321223 has 32 divisors (see below), whose sum is σ = 27650636919360. Its totient is φ = 17547442421760.

The previous prime is 22223013321217. The next prime is 22223013321283. The reversal of 22223013321223 is 32212331032222.

It is a cyclic number.

It is not a de Polignac number, because 22223013321223 - 213 = 22223013313031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22223013321191 and 22223013321200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22223013321203) 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 31 ways as a sum of consecutive naturals, for example, 8930611 + ... + 11144587.

It is an arithmetic number, because the mean of its divisors is an integer number (864082403730).

Almost surely, 222223013321223 is an apocalyptic number.

22223013321223 is a deficient number, since it is larger than the sum of its proper divisors (5427623598137).

22223013321223 is a wasteful number, since it uses less digits than its factorization.

22223013321223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218147.

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 22223013321223 its reverse (32212331032222), we get a palindrome (54435344353445).

The spelling of 22223013321223 in words is "twenty-two trillion, two hundred twenty-three billion, thirteen million, three hundred twenty-one thousand, two hundred twenty-three".

Divisors: 1 11 13 17 143 187 221 2431 4129 45419 53677 70193 590447 772123 912509 2213977 10037599 24353747 28781701 37637609 316598711 414013699 489288917 5382178087 9141511033 100556621363 118839643429 155405687561 1307236077719 1709462563171 2020273938293 22223013321223