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22430302000 = 245322395009
BaseRepresentation
bin10100111000111100…
…110011111100110000
32010220012120101211221
4110320330303330300
5331414124131000
614145423114424
71422562264321
oct247074637460
963805511757
1022430302000
119570358977
12441ba42a14
132166042b62
14112ad92448
158b42ca61a
hex538f33f30

22430302000 has 80 divisors (see below), whose sum is σ = 54271526400. Its totient is φ = 8966323200.

The previous prime is 22430301991. The next prime is 22430302001. The reversal of 22430302000 is 20303422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×224303020002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (22430302001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4475496 + ... + 4480504.

It is an arithmetic number, because the mean of its divisors is an integer number (678394080).

Almost surely, 222430302000 is an apocalyptic number.

22430302000 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 22430302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27135763200).

22430302000 is an abundant number, since it is smaller than the sum of its proper divisors (31841224400).

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

22430302000 is a wasteful number, since it uses less digits than its factorization.

22430302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7271 (or 7255 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 22430302000 its reverse (20303422), we get a palindrome (22450605422).

The spelling of 22430302000 in words is "twenty-two billion, four hundred thirty million, three hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2239 4478 5009 8956 10018 11195 17912 20036 22390 25045 35824 40072 44780 50090 55975 80144 89560 100180 111950 125225 179120 200360 223900 250450 279875 400720 447800 500900 559750 626125 895600 1001800 1119500 1252250 2003600 2239000 2504500 4478000 5009000 10018000 11215151 22430302 44860604 56075755 89721208 112151510 179442416 224303020 280378775 448606040 560757550 897212080 1121515100 1401893875 2243030200 2803787750 4486060400 5607575500 11215151000 22430302000