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223116102 = 232119711617
BaseRepresentation
bin11010100110001…
…11101101000110
3120112211110202100
431103013231012
5424104203402
634050052530
75346312156
oct1523075506
9515743670
10223116102
11104a41480
126287a146
13372bbb81
14218bc766
15148c371c
hexd4c7b46

223116102 has 48 divisors (see below), whose sum is σ = 532847952. Its totient is φ = 66908160.

The previous prime is 223116073. The next prime is 223116139. The reversal of 223116102 is 201611322.

223116102 is a `hidden beast` number, since 22 + 31 + 1 + 610 + 2 = 666.

It is a super-3 number, since 3×2231161023 (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

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, 13398 + ... + 25014.

It is an arithmetic number, because the mean of its divisors is an integer number (11100999).

Almost surely, 2223116102 is an apocalyptic number.

223116102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 223116102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266423976).

223116102 is an abundant number, since it is smaller than the sum of its proper divisors (309731850).

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

223116102 is a wasteful number, since it uses less digits than its factorization.

223116102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11733 (or 11730 counting only the distinct ones).

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

The square root of 223116102 is about 14937.0713997088. The cubic root of 223116102 is about 606.5179214420.

Adding to 223116102 its reverse (201611322), we get a palindrome (424727424).

The spelling of 223116102 in words is "two hundred twenty-three million, one hundred sixteen thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 97 99 194 198 291 582 873 1067 1746 2134 3201 6402 9603 11617 19206 23234 34851 69702 104553 127787 209106 255574 383361 766722 1126849 1150083 2253698 2300166 3380547 6761094 10141641 12395339 20283282 24790678 37186017 74372034 111558051 223116102