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223366080 = 2635743773
BaseRepresentation
bin11010101000001…
…00101111000000
3120120022011122210
431110010233000
5424140203310
634055302120
75351403030
oct1524045700
9516264583
10223366080
111050a2273
126297a940
13373788a2
14219458c0
1514922820
hexd504bc0

223366080 has 224 divisors, whose sum is σ = 830421504. Its totient is φ = 49803264.

The previous prime is 223366069. The next prime is 223366093. The reversal of 223366080 is 80663322.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 288574 + ... + 289346.

Almost surely, 2223366080 is an apocalyptic number.

223366080 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 223366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415210752).

223366080 is an abundant number, since it is smaller than the sum of its proper divisors (607055424).

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

223366080 is a wasteful number, since it uses less digits than its factorization.

223366080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 223366080 is about 14945.4367617678. The cubic root of 223366080 is about 606.7443499659.

The spelling of 223366080 in words is "two hundred twenty-three million, three hundred sixty-six thousand, eighty".