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223144442213 = 7111973101137151
BaseRepresentation
bin1100111111010001110…
…0011111100101100101
3210022222022122011112212
43033310130133211211
512123444434122323
6250302223453205
722056504314630
oct3176434374545
9708868564485
10223144442213
11866a92471a0
12372b6757205
13180722b25b4
14ab2bc4cc17
155c102b6b78
hex33f471f965

223144442213 has 128 divisors (see below), whose sum is σ = 303987548160. Its totient is φ = 158630400000.

The previous prime is 223144442207. The next prime is 223144442243. The reversal of 223144442213 is 312244441322.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 223144442213 - 210 = 223144441189 is a prime.

It is a super-3 number, since 3×2231444422133 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 223144442213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223144442243) 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 127 ways as a sum of consecutive naturals, for example, 1477777688 + ... + 1477777838.

It is an arithmetic number, because the mean of its divisors is an integer number (2374902720).

Almost surely, 2223144442213 is an apocalyptic number.

It is an amenable number.

223144442213 is a deficient number, since it is larger than the sum of its proper divisors (80843105947).

223144442213 is a wasteful number, since it uses less digits than its factorization.

223144442213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499.

The product of its digits is 36864, while the sum is 32.

Adding to 223144442213 its reverse (312244441322), we get a palindrome (535388883535).

It can be divided in two parts, 2231 and 44442213, that added together give a palindrome (44444444).

The spelling of 223144442213 in words is "two hundred twenty-three billion, one hundred forty-four million, four hundred forty-two thousand, two hundred thirteen".

Divisors: 1 7 11 19 73 77 101 133 137 151 209 511 707 803 959 1057 1111 1387 1463 1507 1661 1919 2603 2869 5621 7373 7777 9709 10001 10549 11023 11627 13433 13837 15251 15257 18221 20083 20687 21109 28633 31559 51611 70007 77161 81103 96859 106757 106799 110011 121253 140087 144809 147763 152207 167761 190019 200431 209437 220913 227557 262903 289769 393053 567721 770077 848771 980609 1010101 1065449 1113323 1174327 1330133 1466059 1510151 1540957 1592899 1840321 2028383 2089387 2090209 2303807 2751371 2891933 3187459 4323583 7070707 7793261 10571057 10786699 11111111 12246553 14625709 14631463 16126649 16611661 19191919 20243531 21153137 22312213 22983257 28692869 30265081 39698353 77777777 85725871 116281627 134343433 148071959 152525251 160882799 200850083 211111109 232684507 277888471 315621559 436681883 1067676757 1477777763 1628791549 1677777761 2209350913 2897979769 3056773181 11744444327 20285858383 31877777459 223144442213