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223134120 = 233251129267
BaseRepresentation
bin11010100110011…
…00000110101000
3120112212101110200
431103030012220
5424110242440
634050312200
75346415536
oct1523140650
9515771420
10223134120
11104a53a70
1262888660
13372c7131
14218c5156
15148c8c30
hexd4cc1a8

223134120 has 288 divisors, whose sum is σ = 831561120. Its totient is φ = 51448320.

The previous prime is 223134113. The next prime is 223134133. The reversal of 223134120 is 21431322.

It is a super-3 number, since 3×2231341203 (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 junction number, because it is equal to n+sod(n) for n = 223134093 and 223134102.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3330327 + ... + 3330393.

It is an arithmetic number, because the mean of its divisors is an integer number (2887365).

Almost surely, 2223134120 is an apocalyptic number.

223134120 is a gapful number since it is divisible by the number (20) 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 223134120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415780560).

223134120 is an abundant number, since it is smaller than the sum of its proper divisors (608427000).

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

223134120 is a wasteful number, since it uses less digits than its factorization.

223134120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 223134120 is about 14937.6745178090. The cubic root of 223134120 is about 606.5342476889.

Adding to 223134120 its reverse (21431322), we get a palindrome (244565442).

The spelling of 223134120 in words is "two hundred twenty-three million, one hundred thirty-four thousand, one hundred twenty".