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223955280 = 243451719107
BaseRepresentation
bin11010101100101…
…00100101010000
3120121102002220000
431112110211100
5424313032110
634120050000
75356405563
oct1526244520
9517362800
10223955280
11105464a0a
1263003900
1337523b23
1421a5a4da
15149dc1c0
hexd594950

223955280 has 400 divisors, whose sum is σ = 875033280. Its totient is φ = 52752384.

The previous prime is 223955273. The next prime is 223955293. The reversal of 223955280 is 82559322.

223955280 is a `hidden beast` number, since 2 + 23 + 9 + 552 + 80 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2092987 + ... + 2093093.

Almost surely, 2223955280 is an apocalyptic number.

223955280 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 223955280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437516640).

223955280 is an abundant number, since it is smaller than the sum of its proper divisors (651078000).

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

223955280 is a wasteful number, since it uses less digits than its factorization.

223955280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 223955280 is about 14965.1354821799. The cubic root of 223955280 is about 607.2773761321.

The spelling of 223955280 in words is "two hundred twenty-three million, nine hundred fifty-five thousand, two hundred eighty".