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1106228310 = 235117942433
BaseRepresentation
bin100000111101111…
…1011010001010110
32212002120012221220
41001323323101112
54231143301220
6301434151210
736261533265
oct10173732126
92762505856
101106228310
11518489780
1226a582506
13148251885
14a6cc05dc
15671b6540
hex41efb456

1106228310 has 64 divisors (see below), whose sum is σ = 2933038080. Its totient is φ = 264775680.

The previous prime is 1106228269. The next prime is 1106228311. The reversal of 1106228310 is 138226011.

It is a super-2 number, since 2×11062283102 = 2447482147690912200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106228311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4854 + ... + 47286.

It is an arithmetic number, because the mean of its divisors is an integer number (45828720).

Almost surely, 21106228310 is an apocalyptic number.

1106228310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106228310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466519040).

1106228310 is an abundant number, since it is smaller than the sum of its proper divisors (1826809770).

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

1106228310 is a wasteful number, since it uses less digits than its factorization.

1106228310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42533.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1106228310 is about 33260.0106734799. The cubic root of 1106228310 is about 1034.2247409207.

The spelling of 1106228310 in words is "one billion, one hundred six million, two hundred twenty-eight thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 79 110 158 165 237 330 395 474 790 869 1185 1738 2370 2607 4345 5214 8690 13035 26070 42433 84866 127299 212165 254598 424330 466763 636495 933526 1272990 1400289 2333815 2800578 3352207 4667630 6704414 7001445 10056621 14002890 16761035 20113242 33522070 36874277 50283105 73748554 100566210 110622831 184371385 221245662 368742770 553114155 1106228310