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2223341568 = 215337359
BaseRepresentation
bin1000010010000101…
…1000000000000000
312201221121110021000
42010201120000000
514023133412233
61004341532000
7106045043250
oct20441300000
95657543230
102223341568
11a41022478
12520714000
13295814a36
141713d5960
15d02ccd13
hex84858000

2223341568 has 256 divisors, whose sum is σ = 7549632000. Its totient is φ = 633470976.

The previous prime is 2223341567. The next prime is 2223341569. The reversal of 2223341568 is 8651433222.

2223341568 is a `hidden beast` number, since 2 + 2 + 233 + 415 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2223341567) and next prime (2223341569).

It is a tau number, because it is divible by the number of its divisors (256).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223341567) 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, 6192973 + ... + 6193331.

It is an arithmetic number, because the mean of its divisors is an integer number (29490750).

Almost surely, 22223341568 is an apocalyptic number.

2223341568 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 2223341568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774816000).

2223341568 is an abundant number, since it is smaller than the sum of its proper divisors (5326290432).

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

2223341568 is an frugal number, since it uses more digits than its factorization.

2223341568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 371 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 2223341568 is about 47152.3230392735. The cubic root of 2223341568 is about 1305.1749481401.

The spelling of 2223341568 in words is "two billion, two hundred twenty-three million, three hundred forty-one thousand, five hundred sixty-eight".