Search a number
-
+
223506525661144 = 231171171827208189
BaseRepresentation
bin110010110100011100101011…
…000100010010011111011000
31002022101000102001202111010021
4302310130223010102133120
5213243412331032124034
62111205251434000224
765035546030563265
oct6264345304223730
91068330361674107
10223506525661144
1165241648a29340
122109908b276074
13979376218751b
143d29ab892226c
151ac8db711b6b4
hexcb472b1127d8

223506525661144 has 64 divisors (see below), whose sum is σ = 463616412307200. Its totient is φ = 100161911606400.

The previous prime is 223506525661117. The next prime is 223506525661151. The reversal of 223506525661144 is 441166525605322.

It is a super-2 number, since 2×2235065256611442 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223506525661091 and 223506525661100.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1073471002 + ... + 1073679190.

It is an arithmetic number, because the mean of its divisors is an integer number (7244006442300).

Almost surely, 2223506525661144 is an apocalyptic number.

It is an amenable number.

223506525661144 is an abundant number, since it is smaller than the sum of its proper divisors (240109886646056).

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

223506525661144 is a wasteful number, since it uses less digits than its factorization.

223506525661144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380104 (or 380100 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 52.

The spelling of 223506525661144 in words is "two hundred twenty-three trillion, five hundred six billion, five hundred twenty-five million, six hundred sixty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 71 88 142 284 568 781 1562 3124 6248 171827 208189 343654 416378 687308 832756 1374616 1665512 1890097 2290079 3780194 4580158 7560388 9160316 12199717 14781419 15120776 18320632 24399434 29562838 48798868 59125676 97597736 118251352 134196887 162595609 268393774 325191218 536787548 650382436 1073575096 1300764872 35772491303 71544982606 143089965212 286179930424 393497404333 786994808666 1573989617332 2539846882513 3147979234664 5079693765026 10159387530052 20318775060104 27938315707643 55876631415286 111753262830572 223506525661144