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226956056450 = 2528927572
BaseRepresentation
bin1101001101011110100…
…0101001011110000010
3210200210221212020022112
43103113220221132002
512204301222301300
6252132343535322
722253116435604
oct3232750513602
9720727766275
10226956056450
1188284860402
1237b9b15a542
131852bb85236
14adb0165174
155d84c28e35
hex34d7a29782

226956056450 has 54 divisors (see below), whose sum is σ = 427499412561. Its totient is φ = 89643818880.

The previous prime is 226956056449. The next prime is 226956056461. The reversal of 226956056450 is 54650659622.

226956056450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 14 ways, for example, as 27389257009 + 199566799441 = 165497^2 + 446729^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336865.

It is a super-3 number, since 3×2269560564503 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 299809472 + ... + 299810228.

Almost surely, 2226956056450 is an apocalyptic number.

226956056450 is a deficient number, since it is larger than the sum of its proper divisors (200543356111).

226956056450 is an frugal number, since it uses more digits than its factorization.

226956056450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 50.

Multiplying 226956056450 by its sum of digits (50), we get a square (11347802822500 = 33686502).

226956056450 divided by its sum of digits (50) gives a square (4539121129 = 673732).

The spelling of 226956056450 in words is "two hundred twenty-six billion, nine hundred fifty-six million, fifty-six thousand, four hundred fifty".

Divisors: 1 2 5 10 25 50 89 178 445 757 890 1514 2225 3785 4450 7570 7921 15842 18925 37850 39605 67373 79210 134746 198025 336865 396050 573049 673730 1146098 1684325 2865245 3368650 5730490 5996197 11992394 14326225 28652450 29980985 51001361 59961970 102002722 149904925 255006805 299809850 510013610 1275034025 2550068050 4539121129 9078242258 22695605645 45391211290 113478028225 226956056450