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223666056 = 23332713821
BaseRepresentation
bin11010101010011…
…01111110001000
3120120212102011000
431111031332020
5424224303211
634105535000
75354062425
oct1525157610
9516772130
10223666056
11105287689
1262aa4460
13374522a3
14219c2d4c
1514981656
hexd54df88

223666056 has 64 divisors (see below), whose sum is σ = 623750400. Its totient is φ = 74260800.

The previous prime is 223666031. The next prime is 223666057. The reversal of 223666056 is 650666322.

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

It is a self number, because there is not a number n which added to its sum of digits gives 223666056.

It is not an unprimeable number, because it can be changed into a prime (223666057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56626 + ... + 60446.

It is an arithmetic number, because the mean of its divisors is an integer number (9746100).

Almost surely, 2223666056 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 223666056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311875200).

223666056 is an abundant number, since it is smaller than the sum of its proper divisors (400084344).

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

223666056 is a wasteful number, since it uses less digits than its factorization.

223666056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4107 (or 4097 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 223666056 is about 14955.4690999647. The cubic root of 223666056 is about 607.0158434798.

The spelling of 223666056 in words is "two hundred twenty-three million, six hundred sixty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 271 542 813 1084 1626 2168 2439 3252 3821 4878 6504 7317 7642 9756 11463 14634 15284 19512 22926 29268 30568 34389 45852 58536 68778 91704 103167 137556 206334 275112 412668 825336 1035491 2070982 3106473 4141964 6212946 8283928 9319419 12425892 18638838 24851784 27958257 37277676 55916514 74555352 111833028 223666056