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422400000220 = 2251110119009901
BaseRepresentation
bin1100010010110010000…
…00001000000011011100
31111101021210010021121121
412021121000020003130
523410033400001340
6522014201540324
742342315522052
oct6113100100334
91441253107547
10422400000220
11153158874080
1269a44aa46a4
1330aa8301a43
14166311081d2
15aec31da94a
hex62590080dc

422400000220 has 48 divisors (see below), whose sum is σ = 977261042016. Its totient is φ = 152079200000.

The previous prime is 422400000203. The next prime is 422400000287. The reversal of 422400000220 is 22000004224.

It is a junction number, because it is equal to n+sod(n) for n = 422400000194 and 422400000203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9482731 + ... + 9527170.

It is an arithmetic number, because the mean of its divisors is an integer number (20359605042).

Almost surely, 2422400000220 is an apocalyptic number.

It is an amenable number.

422400000220 is an abundant number, since it is smaller than the sum of its proper divisors (554861041796).

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

422400000220 is a wasteful number, since it uses less digits than its factorization.

422400000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19010022 (or 19010020 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 422400000220 its reverse (22000004224), we get a palindrome (444400004444).

The spelling of 422400000220 in words is "four hundred twenty-two billion, four hundred million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 11110 22220 19009901 38019802 76039604 95049505 190099010 209108911 380198020 418217822 836435644 1045544555 1920000001 2091089110 3840000002 4182178220 7680000004 9600000005 19200000010 21120000011 38400000020 42240000022 84480000044 105600000055 211200000110 422400000220