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220021020340 = 225112731245449
BaseRepresentation
bin1100110011101001000…
…1100101011010110100
3210000220122100220020021
43030322101211122310
512101100340122330
6245024250014524
721616216546462
oct3147221453264
9700818326207
10220021020340
1185346148100
1236784717444
1317995176784
14a9130b9832
155acae9367a
hex333a4656b4

220021020340 has 72 divisors (see below), whose sum is σ = 514824193800. Its totient is φ = 78911585280.

The previous prime is 220021020301. The next prime is 220021020347. The reversal of 220021020340 is 43020120022.

220021020340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1860496 + 220019159844 = 1364^2 + 469062^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220021020347) 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 23 ways as a sum of consecutive naturals, for example, 446065 + ... + 799384.

It is an arithmetic number, because the mean of its divisors is an integer number (7150336025).

Almost surely, 2220021020340 is an apocalyptic number.

220021020340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220021020340 is an abundant number, since it is smaller than the sum of its proper divisors (294803173460).

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

220021020340 is a wasteful number, since it uses less digits than its factorization.

220021020340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245553 (or 1245540 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 220021020340 its reverse (43020120022), we get a palindrome (263041140362).

The spelling of 220021020340 in words is "two hundred twenty billion, twenty-one million, twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 121 146 220 242 292 365 484 605 730 803 1210 1460 1606 2420 3212 4015 8030 8833 16060 17666 35332 44165 88330 176660 1245449 2490898 4981796 6227245 12454490 13699939 24908980 27399878 54799756 68499695 90917777 136999390 150699329 181835554 273998780 301398658 363671108 454588885 602797316 753496645 909177770 1000095547 1506993290 1818355540 2000191094 3013986580 4000382188 5000477735 10000955470 11001051017 20001910940 22002102034 44004204068 55005255085 110010510170 220021020340