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2229752448 = 2735731119
BaseRepresentation
bin1000010011100111…
…0101001010000000
312202101200011100000
42010321311022000
514031304034243
61005131200000
7106153404000
oct20471651200
95671604300
102229752448
11a44701020
125228a6000
13296c4aa61
141721c4000
15d0b475d3
hex84e75280

2229752448 has 768 divisors, whose sum is σ = 8910720000. Its totient is φ = 548674560.

The previous prime is 2229752443. The next prime is 2229752477. The reversal of 2229752448 is 8442579222.

Its product of digits (645120) is a multiple of the sum of its prime divisors (42).

It is not an unprimeable number, because it can be changed into a prime (2229752443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117355383 + ... + 117355401.

It is an arithmetic number, because the mean of its divisors is an integer number (11602500).

Almost surely, 22229752448 is an apocalyptic number.

2229752448 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 2229752448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4455360000).

2229752448 is an abundant number, since it is smaller than the sum of its proper divisors (6680967552).

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

2229752448 is an equidigital number, since it uses as much as digits as its factorization.

2229752448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 42 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 2229752448 is about 47220.2546371787. The cubic root of 2229752448 is about 1306.4282104546.

The spelling of 2229752448 in words is "two billion, two hundred twenty-nine million, seven hundred fifty-two thousand, four hundred forty-eight".