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223073280 = 21032547103
BaseRepresentation
bin11010100101111…
…01010000000000
3120112202022000100
431102331100000
5424101321110
634045122400
75346043263
oct1522752000
9515668010
10223073280
11104a12291
1262859400
13372a5531
14218aacda
15148b5bc0
hexd4bd400

223073280 has 264 divisors, whose sum is σ = 797052672. Its totient is φ = 57655296.

The previous prime is 223073273. The next prime is 223073287. The reversal of 223073280 is 82370322.

It is an interprime number because it is at equal distance from previous prime (223073273) and next prime (223073287).

It is a super-3 number, since 3×2230732803 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223073287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2165709 + ... + 2165811.

Almost surely, 2223073280 is an apocalyptic number.

223073280 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 223073280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398526336).

223073280 is an abundant number, since it is smaller than the sum of its proper divisors (573979392).

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

223073280 is a wasteful number, since it uses less digits than its factorization.

223073280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 223073280 is about 14935.6379174108. The cubic root of 223073280 is about 606.4791165746.

The spelling of 223073280 in words is "two hundred twenty-three million, seventy-three thousand, two hundred eighty".