Search a number
-
+
223523243541 = 321319318339079
BaseRepresentation
bin1101000000101100000…
…1100000011000010101
3210100221201102021021200
43100023001200120111
512130233422243131
6250403554503113
722102054135653
oct3201301403025
9710851367250
10223523243541
1186883053244
12373a1594a99
1318102910cb0
14ab66295dd3
155c3368e2e6
hex340b060615

223523243541 has 96 divisors (see below), whose sum is σ = 382371225600. Its totient is φ = 124586916480.

The previous prime is 223523243533. The next prime is 223523243551. The reversal of 223523243541 is 145342325322.

223523243541 is a `hidden beast` number, since 2 + 23 + 52 + 3 + 2 + 43 + 541 = 666.

It is not a de Polignac number, because 223523243541 - 23 = 223523243533 is a prime.

It is a super-3 number, since 3×2235232435413 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223523243496 and 223523243505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223523243501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5700240 + ... + 5739318.

It is an arithmetic number, because the mean of its divisors is an integer number (3983033600).

Almost surely, 2223523243541 is an apocalyptic number.

It is an amenable number.

223523243541 is a deficient number, since it is larger than the sum of its proper divisors (158847982059).

223523243541 is a wasteful number, since it uses less digits than its factorization.

223523243541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39231 (or 39228 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

Adding to 223523243541 its reverse (145342325322), we get a palindrome (368865568863).

The spelling of 223523243541 in words is "two hundred twenty-three billion, five hundred twenty-three million, two hundred forty-three thousand, five hundred forty-one".

Divisors: 1 3 9 13 19 31 39 57 83 93 117 171 247 249 279 403 589 741 747 1079 1209 1577 1767 2223 2573 3237 3627 4731 5301 7657 7719 9711 14193 20501 22971 23157 33449 39079 48887 61503 68913 100347 117237 146661 184509 301041 351711 439983 508027 635531 742501 1211449 1524081 1906593 2227503 3243557 3634347 4572243 5719779 6682509 9652513 9730671 10903041 15748837 23017531 28957539 29192013 42166241 47246511 61627583 69052593 86872617 100550267 126498723 141739533 184882749 207157779 299227903 301650801 379496169 554648247 801158579 897683709 904952403 1307153471 1910455073 2403475737 2693051127 3921460413 5731365219 7210427211 11764381239 17194095657 24835915949 74507747847 223523243541