Search a number
-
+
110422116 = 2235716229
BaseRepresentation
bin1101001010011…
…10100001100100
321200210000200000
412211032201210
5211232001431
614542421300
72510400240
oct645164144
9250700600
10110422116
115736a852
1230b91830
1319b5253c
1410945420
159a629e6
hex694e864

110422116 has 72 divisors (see below), whose sum is σ = 330832320. Its totient is φ = 31547232.

The previous prime is 110422087. The next prime is 110422133. The reversal of 110422116 is 611224011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1311 + ... + 14918.

Almost surely, 2110422116 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 110422116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165416160).

110422116 is an abundant number, since it is smaller than the sum of its proper divisors (220410204).

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

110422116 is a wasteful number, since it uses less digits than its factorization.

110422116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16255 (or 16241 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 110422116 is about 10508.1928037127. The cubic root of 110422116 is about 479.7540927916.

Adding to 110422116 its reverse (611224011), we get a palindrome (721646127).

It can be divided in two parts, 1104 and 22116, that added together give a triangular number (23220 = T215).

The spelling of 110422116 in words is "one hundred ten million, four hundred twenty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 16229 32458 48687 64916 97374 113603 146061 194748 227206 292122 340809 438183 454412 584244 681618 876366 1022427 1314549 1363236 1752732 2044854 2629098 3067281 3943647 4089708 5258196 6134562 7887294 9201843 12269124 15774588 18403686 27605529 36807372 55211058 110422116