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223140020 = 225234710321
BaseRepresentation
bin11010100110011…
…01100010110100
3120112212200120012
431103031202310
5424110440040
634050355352
75346441665
oct1523154264
9515780505
10223140020
11104a58444
126288bb58
13372c9a1c
14218c736c
15148ca865
hexd4cd8b4

223140020 has 48 divisors (see below), whose sum is σ = 499419648. Its totient is φ = 83550720.

The previous prime is 223139981. The next prime is 223140023. The reversal of 223140020 is 20041322.

223140020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231400203 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223139977 and 223140004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223140023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16460 + ... + 26780.

It is an arithmetic number, because the mean of its divisors is an integer number (10404576).

Almost surely, 2223140020 is an apocalyptic number.

223140020 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 223140020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249709824).

223140020 is an abundant number, since it is smaller than the sum of its proper divisors (276279628).

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

223140020 is a wasteful number, since it uses less digits than its factorization.

223140020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10400 (or 10398 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 223140020 is about 14937.8720037360. The cubic root of 223140020 is about 606.5395935328.

Adding to 223140020 its reverse (20041322), we get a palindrome (243181342).

The spelling of 223140020 in words is "two hundred twenty-three million, one hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 47 92 94 115 188 230 235 460 470 940 1081 2162 4324 5405 10321 10810 20642 21620 41284 51605 103210 206420 237383 474766 485087 949532 970174 1186915 1940348 2373830 2425435 4747660 4850870 9701740 11157001 22314002 44628004 55785005 111570010 223140020