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22725330000 = 243541939869
BaseRepresentation
bin10101001010100010…
…010000010001010000
32011122202201101011220
4111022202100101100
5333020141030000
614235002405040
71433104055262
oct251242202120
964582641156
1022725330000
11970194686a
1244a2800780
1321b21bc839
14115822db32
158d01561a0
hex54a890450

22725330000 has 200 divisors, whose sum is σ = 77223405600. Its totient is φ = 5740992000.

The previous prime is 22725329969. The next prime is 22725330049. The reversal of 22725330000 is 3352722.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 550066 + ... + 589934.

It is an arithmetic number, because the mean of its divisors is an integer number (386117028).

Almost surely, 222725330000 is an apocalyptic number.

22725330000 is a gapful number since it is divisible by the number (20) 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 22725330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38611702800).

22725330000 is an abundant number, since it is smaller than the sum of its proper divisors (54498075600).

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

22725330000 is a wasteful number, since it uses less digits than its factorization.

22725330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39919 (or 39898 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

Adding to 22725330000 its reverse (3352722), we get a palindrome (22728682722).

The spelling of 22725330000 in words is "twenty-two billion, seven hundred twenty-five million, three hundred thirty thousand".