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223002112 = 292329653
BaseRepresentation
bin11010100101010…
…11111000000000
3120112121200101111
431102223320000
5424042031422
634043413104
75345325634
oct1522537000
9515550344
10223002112
11104973873
1262824194
133727c018
142188cdc4
151489ea77
hexd4abe00

223002112 has 80 divisors (see below), whose sum is σ = 481710240. Its totient is φ = 102817792.

The previous prime is 223002103. The next prime is 223002113. The reversal of 223002112 is 211200322.

It is a junction number, because it is equal to n+sod(n) for n = 223002092 and 223002101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223002113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 341178 + ... + 341830.

It is an arithmetic number, because the mean of its divisors is an integer number (6021378).

Almost surely, 2223002112 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 223002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240855120).

223002112 is an abundant number, since it is smaller than the sum of its proper divisors (258708128).

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

223002112 is an equidigital number, since it uses as much as digits as its factorization.

223002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 223002112 is about 14933.2552378910. The cubic root of 223002112 is about 606.4146138596.

Adding to 223002112 its reverse (211200322), we get a palindrome (434202434).

The spelling of 223002112 in words is "two hundred twenty-three million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 29 32 46 58 64 92 116 128 184 232 256 368 464 512 653 667 736 928 1306 1334 1472 1856 2612 2668 2944 3712 5224 5336 5888 7424 10448 10672 11776 14848 15019 18937 20896 21344 30038 37874 41792 42688 60076 75748 83584 85376 120152 151496 167168 170752 240304 302992 334336 341504 435551 480608 605984 871102 961216 1211968 1742204 1922432 2423936 3484408 3844864 4847872 6968816 7689728 9695744 13937632 27875264 55750528 111501056 223002112