Search a number
-
+
110226844 = 227131747379
BaseRepresentation
bin1101001000111…
…10110110011100
321200102002210201
412210132312130
5211204224334
614534313244
72505625030
oct644366634
9250362721
10110226844
1157247072
1230ab8824
1319ab46b0
14108d41c0
159a24c14
hex691ed9c

110226844 has 96 divisors (see below), whose sum is σ = 257402880. Its totient is φ = 40061952.

The previous prime is 110226841. The next prime is 110226863. The reversal of 110226844 is 448622011.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110226841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290647 + ... + 291025.

It is an arithmetic number, because the mean of its divisors is an integer number (2681280).

Almost surely, 2110226844 is an apocalyptic number.

110226844 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110226844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128701440).

110226844 is an abundant number, since it is smaller than the sum of its proper divisors (147176036).

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

110226844 is a wasteful number, since it uses less digits than its factorization.

110226844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 110226844 is about 10498.8972754285. The cubic root of 110226844 is about 479.4711246626.

Adding to 110226844 its reverse (448622011), we get a palindrome (558848855).

The spelling of 110226844 in words is "one hundred ten million, two hundred twenty-six thousand, eight hundred forty-four".

Divisors: 1 2 4 7 13 14 17 26 28 34 47 52 68 91 94 119 182 188 221 238 329 364 379 442 476 611 658 758 799 884 1222 1316 1516 1547 1598 2444 2653 3094 3196 4277 4927 5306 5593 6188 6443 8554 9854 10387 10612 11186 12886 17108 17813 19708 20774 22372 25772 34489 35626 41548 45101 68978 71252 72709 83759 90202 124691 137956 145418 167518 180404 231569 249382 290836 302821 335036 463138 498764 586313 605642 926276 1172626 1211284 1620983 2119747 2345252 3241966 3936673 4239494 6483932 7873346 8478988 15746692 27556711 55113422 110226844