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223709640 = 233571123171
BaseRepresentation
bin11010101010110…
…00100111001000
3120120221121221020
431111120213020
5424232202030
634110512440
75354333460
oct1525304710
9516847836
10223709640
11105307400
1262b05720
133746908b
14219d4ba0
151498e510
hexd5589c8

223709640 has 384 divisors, whose sum is σ = 882524160. Its totient is φ = 44352000.

The previous prime is 223709623. The next prime is 223709669. The reversal of 223709640 is 46907322.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 95 ways as a sum of consecutive naturals, for example, 3150805 + ... + 3150875.

It is an arithmetic number, because the mean of its divisors is an integer number (2298240).

Almost surely, 2223709640 is an apocalyptic number.

223709640 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 223709640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441262080).

223709640 is an abundant number, since it is smaller than the sum of its proper divisors (658814520).

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

223709640 is a wasteful number, since it uses less digits than its factorization.

223709640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 223709640 is about 14956.9261547953. The cubic root of 223709640 is about 607.0552690126.

The spelling of 223709640 in words is "two hundred twenty-three million, seven hundred nine thousand, six hundred forty".