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223545564 = 2232112193773
BaseRepresentation
bin11010101001100…
…00100011011100
3120120122021212100
431110300203130
5424211424224
634103205100
75353051224
oct1524604334
9516567770
10223545564
11105205100
1262a46790
133740c4a8
1421991084
151495aac9
hexd5308dc

223545564 has 216 divisors, whose sum is σ = 680672720. Its totient is φ = 61585920.

The previous prime is 223545493. The next prime is 223545587. The reversal of 223545564 is 465545322.

223545564 is a `hidden beast` number, since 22 + 35 + 45 + 564 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3062232 + ... + 3062304.

Almost surely, 2223545564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223545564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340336360).

223545564 is an abundant number, since it is smaller than the sum of its proper divisors (457127156).

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

223545564 is a wasteful number, since it uses less digits than its factorization.

223545564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 145 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 223545564 is about 14951.4401981883. The cubic root of 223545564 is about 606.9068212881.

The spelling of 223545564 in words is "two hundred twenty-three million, five hundred forty-five thousand, five hundred sixty-four".