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223053168 = 24313379661
BaseRepresentation
bin11010100101110…
…00010101110000
3120112201021102110
431102320111300
5424100200133
634044445320
75345630532
oct1522702560
9515637373
10223053168
111049a9168
1262849840
1337299330
14218a3852
15148aec63
hexd4b8570

223053168 has 80 divisors (see below), whose sum is σ = 637382816. Its totient is φ = 66769920.

The previous prime is 223053167. The next prime is 223053191. The reversal of 223053168 is 861350322.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223053167) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18258 + ... + 27918.

Almost surely, 2223053168 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 223053168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318691408).

223053168 is an abundant number, since it is smaller than the sum of its proper divisors (414329648).

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

223053168 is a wasteful number, since it uses less digits than its factorization.

223053168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9722 (or 9716 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 223053168 is about 14934.9646132825. The cubic root of 223053168 is about 606.4608895678.

The spelling of 223053168 in words is "two hundred twenty-three million, fifty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 74 78 104 111 148 156 208 222 296 312 444 481 592 624 888 962 1443 1776 1924 2886 3848 5772 7696 9661 11544 19322 23088 28983 38644 57966 77288 115932 125593 154576 231864 251186 357457 376779 463728 502372 714914 753558 1004744 1072371 1429828 1507116 2009488 2144742 2859656 3014232 4289484 4646941 5719312 6028464 8578968 9293882 13940823 17157936 18587764 27881646 37175528 55763292 74351056 111526584 223053168