Search a number
-
+
22525140334133 = 1723739741919417
BaseRepresentation
bin1010001111100100010101…
…11111001111011000110101
32221202101022202111100220202
411013302022333033120311
510423022441411143013
6115523523455010245
74513246655512163
oct507621277173065
987671282440822
1022525140334133
1171a4949542468
122639633b09985
13c7515b2c5818
1457c318ba8233
15290de5b39858
hex147c8afcf635

22525140334133 has 64 divisors (see below), whose sum is σ = 25550260323840. Its totient is φ = 19746150285312.

The previous prime is 22525140334117. The next prime is 22525140334139. The reversal of 22525140334133 is 33143304152522.

It is a cyclic number.

It is not a de Polignac number, because 22525140334133 - 24 = 22525140334117 is a prime.

It is a super-3 number, since 3×225251403341333 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22525140334139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1160063441 + ... + 1160082857.

It is an arithmetic number, because the mean of its divisors is an integer number (399222817560).

Almost surely, 222525140334133 is an apocalyptic number.

22525140334133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

22525140334133 is a deficient number, since it is larger than the sum of its proper divisors (3025119989707).

22525140334133 is a wasteful number, since it uses less digits than its factorization.

22525140334133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20046.

The product of its (nonzero) digits is 259200, while the sum is 38.

Adding to 22525140334133 its reverse (33143304152522), we get a palindrome (55668444486655).

The spelling of 22525140334133 in words is "twenty-two trillion, five hundred twenty-five billion, one hundred forty million, three hundred thirty-four thousand, one hundred thirty-three".

Divisors: 1 17 23 73 97 391 419 1241 1649 1679 2231 7081 7123 9637 19417 28543 30587 37927 40643 120377 162863 163829 330089 446591 519979 690931 703501 934789 1417441 1883449 2768671 2966939 7592047 8135723 11959517 15891413 24096497 32018633 32601143 43319327 50437963 68239597 137491777 138307291 187121629 554219431 593907779 736428559 789165131 1160073149 2337360209 3162310871 3181067693 10096432243 13415807227 13659878917 18150798013 53759284807 57609054563 232217941589 308563566221 979353927571 1325008254949 22525140334133