Search a number
-
+
113216022 = 23317196491
BaseRepresentation
bin1101011111110…
…00101000010110
321220000222012000
412233320220112
5212440403042
615122340130
72543214603
oct657705026
9256028160
10113216022
11589a8967
1231aba646
131a5c013a
14110716aa
159e1574c
hex6bf8a16

113216022 has 64 divisors (see below), whose sum is σ = 280454400. Its totient is φ = 33644160.

The previous prime is 113215987. The next prime is 113216027. The reversal of 113216022 is 220612311.

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

It is a junction number, because it is equal to n+sod(n) for n = 113215986 and 113216004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113216027) 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, 14197 + ... + 20687.

It is an arithmetic number, because the mean of its divisors is an integer number (4382100).

Almost surely, 2113216022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113216022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140227200).

113216022 is an abundant number, since it is smaller than the sum of its proper divisors (167238378).

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

113216022 is a wasteful number, since it uses less digits than its factorization.

113216022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6538 (or 6532 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 113216022 is about 10640.3017814346. The cubic root of 113216022 is about 483.7666925314.

Adding to 113216022 its reverse (220612311), we get a palindrome (333828333).

The spelling of 113216022 in words is "one hundred thirteen million, two hundred sixteen thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 102 114 153 171 306 323 342 459 513 646 918 969 1026 1938 2907 5814 6491 8721 12982 17442 19473 38946 58419 110347 116838 123329 175257 220694 246658 331041 350514 369987 662082 739974 993123 1109961 1986246 2096593 2219922 2979369 3329883 4193186 5958738 6289779 6659766 12579558 18869337 37738674 56608011 113216022