Search a number
-
+
110049016 = 237112109149
BaseRepresentation
bin1101000111100…
…11011011111000
321200002001212111
412203303123320
5211133032031
614530422104
72504254420
oct643633370
9250061774
10110049016
1157135500
1230a31934
1319a5177c
1410889480
1599dc1b1
hex68f36f8

110049016 has 96 divisors (see below), whose sum is σ = 263340000. Its totient is φ = 42197760.

The previous prime is 110049013. The next prime is 110049019. The reversal of 110049016 is 610940011.

It is an interprime number because it is at equal distance from previous prime (110049013) and next prime (110049019).

It is a super-2 number, since 2×1100490162 = 24221571845136512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110049013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 738510 + ... + 738658.

It is an arithmetic number, because the mean of its divisors is an integer number (2743125).

Almost surely, 2110049016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110049016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131670000).

110049016 is an abundant number, since it is smaller than the sum of its proper divisors (153290984).

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

110049016 is a wasteful number, since it uses less digits than its factorization.

110049016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 110049016 is about 10490.4249675597. The cubic root of 110049016 is about 479.2131436943.

Adding to 110049016 its reverse (610940011), we get a palindrome (720989027).

The spelling of 110049016 in words is "one hundred ten million, forty-nine thousand, sixteen".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 109 121 149 154 218 242 298 308 436 484 596 616 763 847 872 968 1043 1192 1199 1526 1639 1694 2086 2398 3052 3278 3388 4172 4796 6104 6556 6776 8344 8393 9592 11473 13112 13189 16241 16786 18029 22946 26378 32482 33572 36058 45892 52756 64964 67144 72116 91784 92323 105512 113687 126203 129928 144232 178651 184646 227374 252406 357302 369292 454748 504812 714604 738584 909496 1009624 1250557 1429208 1965161 2501114 3930322 5002228 7860644 10004456 13756127 15721288 27512254 55024508 110049016