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223222545405 = 32517291794177
BaseRepresentation
bin1100111111100100011…
…0011011101111111101
3210100011202121012222200
43033321012123233331
512124124432423110
6250314053502113
722061443221006
oct3177106335775
9710152535880
10223222545405
1186739342292
1237318941939
131808552a4c2
14ab383801ad
155c170936c0
hex33f919bbfd

223222545405 has 24 divisors (see below), whose sum is σ = 409679025912. Its totient is φ = 112048963584.

The previous prime is 223222545347. The next prime is 223222545419. The reversal of 223222545405 is 504545222322.

223222545405 is a `hidden beast` number, since 2 + 23 + 2 + 225 + 4 + 5 + 405 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3585973689 + 219636571716 = 59883^2 + 468654^2 .

It is not a de Polignac number, because 223222545405 - 26 = 223222545341 is a prime.

It is a super-3 number, since 3×2232225454053 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 223222545405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145896324 + ... + 145897853.

It is an arithmetic number, because the mean of its divisors is an integer number (17069959413).

Almost surely, 2223222545405 is an apocalyptic number.

It is an amenable number.

223222545405 is a deficient number, since it is larger than the sum of its proper divisors (186456480507).

223222545405 is a wasteful number, since it uses less digits than its factorization.

223222545405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291794205 (or 291794202 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 223222545405 its reverse (504545222322), we get a palindrome (727767767727).

The spelling of 223222545405 in words is "two hundred twenty-three billion, two hundred twenty-two million, five hundred forty-five thousand, four hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 291794177 875382531 1458970885 2626147593 4376912655 4960501009 13130737965 14881503027 24802505045 44644509081 74407515135 223222545405