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201430222420 = 225711322357097
BaseRepresentation
bin1011101110011000101…
…1010100011001010100
3201020221000111111211011
42323212023110121110
511300012114104140
6232311420422004
720360425432450
oct2734613243124
9636830444734
10201430222420
11784761224a9
12330566a7904
1315cc171cc2b
149a6c01d660
15538dcd8cea
hex2ee62d4654

201430222420 has 96 divisors (see below), whose sum is σ = 489906321408. Its totient is φ = 68142477312.

The previous prime is 201430222351. The next prime is 201430222423. The reversal of 201430222420 is 24222034102.

201430222420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201430222391 and 201430222400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201430222423) 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 31 ways as a sum of consecutive naturals, for example, 3499312 + ... + 3556408.

It is an arithmetic number, because the mean of its divisors is an integer number (5103190848).

Almost surely, 2201430222420 is an apocalyptic number.

201430222420 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 201430222420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244953160704).

201430222420 is an abundant number, since it is smaller than the sum of its proper divisors (288476098988).

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

201430222420 is a wasteful number, since it uses less digits than its factorization.

201430222420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57449 (or 57447 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 201430222420 its reverse (24222034102), we get a palindrome (225652256522).

The spelling of 201430222420 in words is "two hundred one billion, four hundred thirty million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 113 140 223 226 446 452 565 791 892 1115 1130 1561 1582 2230 2260 3122 3164 3955 4460 6244 7805 7910 15610 15820 25199 31220 50398 57097 100796 114194 125995 176393 228388 251990 285485 352786 399679 503980 570970 705572 799358 881965 1141940 1598716 1763930 1998395 3527860 3996790 6451961 7993580 12732631 12903922 25465262 25807844 32259805 45163727 50930524 63663155 64519610 89128417 90327454 127326310 129039220 178256834 180654908 225818635 254652620 356513668 445642085 451637270 891284170 903274540 1438787303 1782568340 2877574606 5755149212 7193936515 10071511121 14387873030 20143022242 28775746060 40286044484 50357555605 100715111210 201430222420