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1222535020 = 2257291272371
BaseRepresentation
bin100100011011110…
…0110011101101100
310011012102012202211
41020313212131230
510000432110040
6321151100204
742203243020
oct11067463554
93135365684
101222535020
115780a8723
122a1511664
13166384705
14b8518380
15724dc8ea
hex48de676c

1222535020 has 96 divisors (see below), whose sum is σ = 3060449280. Its totient is φ = 401345280.

The previous prime is 1222534927. The next prime is 1222535053. The reversal of 1222535020 is 205352221.

It is a junction number, because it is equal to n+sod(n) for n = 1222534982 and 1222535000.

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 31 ways as a sum of consecutive naturals, for example, 514435 + ... + 516805.

It is an arithmetic number, because the mean of its divisors is an integer number (31879680).

Almost surely, 21222535020 is an apocalyptic number.

1222535020 is a gapful number since it is divisible by the number (10) 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 1222535020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530224640).

1222535020 is an abundant number, since it is smaller than the sum of its proper divisors (1837914260).

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

1222535020 is a wasteful number, since it uses less digits than its factorization.

1222535020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 1222535020 is about 34964.7682675004. The cubic root of 1222535020 is about 1069.2693121833.

Adding to 1222535020 its reverse (205352221), we get a palindrome (1427887241).

The spelling of 1222535020 in words is "one billion, two hundred twenty-two million, five hundred thirty-five thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 127 140 145 203 254 290 406 508 580 635 812 889 1015 1270 1778 2030 2371 2540 3556 3683 4060 4445 4742 7366 8890 9484 11855 14732 16597 17780 18415 23710 25781 33194 36830 47420 51562 66388 68759 73660 82985 103124 128905 137518 165970 257810 275036 301117 331940 343795 481313 515620 602234 687590 962626 1204468 1375180 1505585 1925252 2107819 2406565 3011170 4215638 4813130 6022340 8431276 8732393 9626260 10539095 17464786 21078190 34929572 42156380 43661965 61126751 87323930 122253502 174647860 244507004 305633755 611267510 1222535020