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226105956036 = 2234264172
BaseRepresentation
bin1101001010010011110…
…1110001011011000100
3210121121201020122210000
43102210331301123010
512201031111043121
6251512135201300
722223054626002
oct3224475613304
9717551218700
10226105956036
1187988a10384
12379a2516230
1318424a1033c
14ad2d2b7a72
155d352a7526
hex34a4f716c4

226105956036 has 45 divisors (see below), whose sum is σ = 591108008029. Its totient is φ = 75365798976.

The previous prime is 226105956023. The next prime is 226105956053. The reversal of 226105956036 is 630659501622.

The square root of 226105956036 is 475506.

It is a perfect power (a square), and thus also a powerful number.

226105956036 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 0 + 59 + 560 + 36 = 666.

226105956036 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 36233122500 + 189872833536 = 190350^2 + 435744^2 .

It is a super-2 number, since 2×2261059560362 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 226105955982 and 226105956000.

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 14 ways as a sum of consecutive naturals, for example, 8545900 + ... + 8572316.

Almost surely, 2226105956036 is an apocalyptic number.

226105956036 is the 475506-th square number.

It is an amenable number.

226105956036 is an abundant number, since it is smaller than the sum of its proper divisors (365002051993).

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

226105956036 is an frugal number, since it uses more digits than its factorization.

226105956036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52850 (or 26422 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 226105956036 in words is "two hundred twenty-six billion, one hundred five million, nine hundred fifty-six thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 26417 52834 79251 105668 158502 237753 317004 475506 713259 951012 1426518 2139777 2853036 4279554 8559108 697857889 1395715778 2093573667 2791431556 4187147334 6280721001 8374294668 12561442002 18842163003 25122884004 37684326006 56526489009 75368652012 113052978018 226105956036