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223012320 = 25352937433
BaseRepresentation
bin11010100101011…
…10010111100000
3120112122012101120
431102232113200
5424042343240
634043532240
75345400456
oct1522562740
9515565346
10223012320
11104980503
126282a080
133728386b
14218929d6
15148a2ad0
hexd4ae5e0

223012320 has 192 divisors, whose sum is σ = 748077120. Its totient is φ = 55738368.

The previous prime is 223012303. The next prime is 223012327. The reversal of 223012320 is 23210322.

223012320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 223012320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223012327) 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, 514824 + ... + 515256.

It is an arithmetic number, because the mean of its divisors is an integer number (3896235).

Almost surely, 2223012320 is an apocalyptic number.

223012320 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 223012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374038560).

223012320 is an abundant number, since it is smaller than the sum of its proper divisors (525064800).

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

223012320 is a wasteful number, since it uses less digits than its factorization.

223012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 223012320 is about 14933.5970214815. The cubic root of 223012320 is about 606.4238666658.

Adding to 223012320 its reverse (23210322), we get a palindrome (246222642).

The spelling of 223012320 in words is "two hundred twenty-three million, twelve thousand, three hundred twenty".