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4220202012 = 22313234312729
BaseRepresentation
bin1111101110001011…
…0010110000011100
3101220010001110211020
43323202302300130
532120332431022
61534433324140
7206403060645
oct37342626034
911803043736
104220202012
111876215264
12999406650
13523430070
142c06b46cc
1519a77035c
hexfb8b2c1c

4220202012 has 96 divisors (see below), whose sum is σ = 11095418880. Its totient is φ = 1238730240.

The previous prime is 4220201987. The next prime is 4220202017. The reversal of 4220202012 is 2102020224.

It is a junction number, because it is equal to n+sod(n) for n = 4220201982 and 4220202000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4220202017) by changing a digit.

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, 1545064 + ... + 1547792.

It is an arithmetic number, because the mean of its divisors is an integer number (115577280).

Almost surely, 24220202012 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 4220202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5547709440).

4220202012 is an abundant number, since it is smaller than the sum of its proper divisors (6875216868).

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

4220202012 is a wasteful number, since it uses less digits than its factorization.

4220202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3203 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4220202012 is about 64963.0819158082. The cubic root of 4220202012 is about 1616.0113749281.

Adding to 4220202012 its reverse (2102020224), we get a palindrome (6322222236).

The spelling of 4220202012 in words is "four billion, two hundred twenty million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 431 598 862 897 1196 1293 1724 1794 2586 2729 3588 5172 5458 5603 8187 9913 10916 11206 16374 16809 19826 22412 29739 32748 33618 35477 39652 59478 62767 67236 70954 106431 118956 125534 128869 141908 188301 212862 251068 257738 376602 386607 425724 515476 753204 773214 815971 1176199 1546428 1631942 2352398 2447913 3263884 3528597 4704796 4895826 7057194 9791652 14114388 15290587 27052577 30581174 45871761 54105154 61162348 81157731 91743522 108210308 162315462 183487044 324630924 351683501 703367002 1055050503 1406734004 2110101006 4220202012