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30023222000 = 245315599629
BaseRepresentation
bin11011111101100001…
…100000001011110000
32212111100222200222012
4123331201200023300
5442441421101000
621443101502052
72112001114322
oct337541401360
985440880865
1030023222000
1111807365072
12599a871928
132aa6135c25
14164b571612
15baabb4735
hex6fd8602f0

30023222000 has 80 divisors (see below), whose sum is σ = 72650260800. Its totient is φ = 12000339200.

The previous prime is 30023221999. The next prime is 30023222057. The reversal of 30023222000 is 22232003.

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

It is a super-2 number, since 2×300232220002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3113186 + ... + 3122814.

It is an arithmetic number, because the mean of its divisors is an integer number (908128260).

Almost surely, 230023222000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30023222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36325130400).

30023222000 is an abundant number, since it is smaller than the sum of its proper divisors (42627038800).

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

30023222000 is a wasteful number, since it uses less digits than its factorization.

30023222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11211 (or 11195 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

Adding to 30023222000 its reverse (22232003), we get a palindrome (30045454003).

The spelling of 30023222000 in words is "thirty billion, twenty-three million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1559 2000 3118 6236 7795 9629 12472 15590 19258 24944 31180 38516 38975 48145 62360 77032 77950 96290 124720 154064 155900 192580 194875 240725 311800 385160 389750 481450 623600 770320 779500 962900 1203625 1559000 1925800 2407250 3118000 3851600 4814500 9629000 15011611 19258000 30023222 60046444 75058055 120092888 150116110 240185776 300232220 375290275 600464440 750580550 1200928880 1501161100 1876451375 3002322200 3752902750 6004644400 7505805500 15011611000 30023222000