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223140120 = 233572137277
BaseRepresentation
bin11010100110011…
…01100100011000
3120112212200200220
431103031210120
5424110440440
634050400040
75346442200
oct1523154430
9515780626
10223140120
11104a58525
1262890020
13372c9a98
14218c7400
15148ca8d0
hexd4cd918

223140120 has 192 divisors, whose sum is σ = 787229280. Its totient is φ = 50448384.

The previous prime is 223140109. The next prime is 223140121. The reversal of 223140120 is 21041322.

It is a super-3 number, since 3×2231401203 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 223140120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223140121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 805422 + ... + 805698.

Almost surely, 2223140120 is an apocalyptic number.

223140120 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 223140120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393614640).

223140120 is an abundant number, since it is smaller than the sum of its proper divisors (564089160).

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

223140120 is a wasteful number, since it uses less digits than its factorization.

223140120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 223140120 is about 14937.8753509326. The cubic root of 223140120 is about 606.5396841395.

Adding to 223140120 its reverse (21041322), we get a palindrome (244181442).

The spelling of 223140120 in words is "two hundred twenty-three million, one hundred forty thousand, one hundred twenty".