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223362048 = 21037131747
BaseRepresentation
bin11010101000000…
…11110000000000
3120120021222010110
431110003300000
5424140041143
634055231320
75351355210
oct1524036000
9516258113
10223362048
1110509a238
1262978540
1337376ac0
1421944240
1514921533
hexd503c00

223362048 has 352 divisors, whose sum is σ = 792336384. Its totient is φ = 54263808.

The previous prime is 223361951. The next prime is 223362049. The reversal of 223362048 is 840263322.

223362048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223362049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4752361 + ... + 4752407.

Almost surely, 2223362048 is an apocalyptic number.

223362048 is a gapful number since it is divisible by the number (28) 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 223362048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396168192).

223362048 is an abundant number, since it is smaller than the sum of its proper divisors (568974336).

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

223362048 is a wasteful number, since it uses less digits than its factorization.

223362048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 223362048 is about 14945.3018704876. The cubic root of 223362048 is about 606.7406991460.

The spelling of 223362048 in words is "two hundred twenty-three million, three hundred sixty-two thousand, forty-eight".