Search a number
-
+
223106357672536 = 231316741549309173
BaseRepresentation
bin110010101110100111111111…
…001100100011101001011000
31002020221202111200002102002011
4302232213333030203221120
5213220333310031010121
62110301351253115304
764664621346031462
oct6256477714435130
91066852450072064
10223106357672536
11650a7969598688
122103360b928b34
139764abaabc550
143d14596311132
151abd795add7e1
hexcae9ff323a58

223106357672536 has 64 divisors (see below), whose sum is σ = 453213219816000. Its totient is φ = 102352770743808.

The previous prime is 223106357672533. The next prime is 223106357672567. The reversal of 223106357672536 is 635276753601322.

It is a super-3 number, since 3×2231063576725363 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223106357672533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 721468446 + ... + 721777618.

It is an arithmetic number, because the mean of its divisors is an integer number (7081456559625).

Almost surely, 2223106357672536 is an apocalyptic number.

223106357672536 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

223106357672536 is an abundant number, since it is smaller than the sum of its proper divisors (230106862143464).

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

223106357672536 is a wasteful number, since it uses less digits than its factorization.

223106357672536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350908 (or 350904 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 58.

The spelling of 223106357672536 in words is "two hundred twenty-three trillion, one hundred six billion, three hundred fifty-seven million, six hundred seventy-two thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 26 52 104 167 334 668 1336 2171 4342 8684 17368 41549 83098 166196 309173 332392 540137 618346 1080274 1236692 2160548 2473384 4019249 4321096 6938683 8038498 13877366 16076996 27754732 32153992 51631891 55509464 90202879 103263782 180405758 206527564 360811516 413055128 671214583 721623032 1342429166 2684858332 5369716664 12845828977 25691657954 51383315908 102766631816 166995776701 333991553402 667983106804 1335966213608 2145253439159 4290506878318 8581013756636 17162027513272 27888294709067 55776589418134 111553178836268 223106357672536