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2243501568 = 29327116323
BaseRepresentation
bin1000010110111001…
…0001111000000000
312210100112200120200
42011232101320000
514043314022233
61010342005200
7106411306620
oct20556217000
95710480520
102243501568
11a51441a30
12527416800
13299a52c29
14173d62880
15d1e61313
hex85b91e00

2243501568 has 240 divisors, whose sum is σ = 8073876096. Its totient is φ = 582635520.

The previous prime is 2243501539. The next prime is 2243501569. The reversal of 2243501568 is 8651053422.

2243501568 is a `hidden beast` number, since 2 + 2 + 43 + 50 + 1 + 568 = 666.

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 (2243501569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351655 + ... + 357977.

Almost surely, 22243501568 is an apocalyptic number.

2243501568 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 2243501568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4036938048).

2243501568 is an abundant number, since it is smaller than the sum of its proper divisors (5830374528).

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

2243501568 is a wasteful number, since it uses less digits than its factorization.

2243501568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6365 (or 6346 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2243501568 is about 47365.6158832544. The cubic root of 2243501568 is about 1309.1079465796.

The spelling of 2243501568 in words is "two billion, two hundred forty-three million, five hundred one thousand, five hundred sixty-eight".