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223914368 = 272297639
BaseRepresentation
bin11010101100010…
…10100110000000
3120121100000202202
431112022212000
5424310224433
634115132332
75356145366
oct1526124600
9517300682
10223914368
111054371a7
1262ba40a8
133750b312
1421a49636
15149ceee8
hexd58a980

223914368 has 32 divisors (see below), whose sum is σ = 448086000. Its totient is φ = 111453696.

The previous prime is 223914367. The next prime is 223914371. The reversal of 223914368 is 863419322.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223914367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25493 + ... + 33131.

Almost surely, 2223914368 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 223914368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224043000).

223914368 is an abundant number, since it is smaller than the sum of its proper divisors (224171632).

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

223914368 is an equidigital number, since it uses as much as digits as its factorization.

223914368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7882 (or 7870 counting only the distinct ones).

The product of its digits is 62208, while the sum is 38.

The square root of 223914368 is about 14963.7685093027. The cubic root of 223914368 is about 607.2403948724.

The spelling of 223914368 in words is "two hundred twenty-three million, nine hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 229 458 916 1832 3664 7328 7639 14656 15278 29312 30556 61112 122224 244448 488896 977792 1749331 3498662 6997324 13994648 27989296 55978592 111957184 223914368