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142205332220 = 225717328320747
BaseRepresentation
bin1000010001110000011…
…0010010101011111100
3111121001112102100211022
42010130012102223330
54312214031112340
6145154521443312
713162660244210
oct2043406225374
9447045370738
10142205332220
1155344225956
1223688340538
131054373c6c3
146c50496940
153a746433b5
hex211c192afc

142205332220 has 96 divisors (see below), whose sum is σ = 344495144448. Its totient is φ = 48300671232.

The previous prime is 142205332193. The next prime is 142205332253. The reversal of 142205332220 is 22233502241.

It is a self number, because there is not a number n which added to its sum of digits gives 142205332220.

It is a congruent number.

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, 6843887 + ... + 6864633.

It is an arithmetic number, because the mean of its divisors is an integer number (3588491088).

Almost surely, 2142205332220 is an apocalyptic number.

142205332220 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 142205332220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172247572224).

142205332220 is an abundant number, since it is smaller than the sum of its proper divisors (202289812228).

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

142205332220 is a wasteful number, since it uses less digits than its factorization.

142205332220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21219 (or 21217 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 142205332220 its reverse (22233502241), we get a palindrome (164438834461).

The spelling of 142205332220 in words is "one hundred forty-two billion, two hundred five million, three hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 173 283 346 566 692 865 1132 1211 1415 1730 1981 2422 2830 3460 3962 4844 5660 6055 7924 9905 12110 19810 20747 24220 39620 41494 48959 82988 97918 103735 145229 195836 207470 244795 290458 342713 414940 489590 580916 685426 726145 979180 1370852 1452290 1713565 2904580 3427130 3589231 5871401 6854260 7178462 11742802 14356924 17946155 23485604 25124617 29357005 35892310 41099807 50249234 58714010 71784620 82199614 100498468 117428020 125623085 164399228 205499035 251246170 410998070 502492340 821996140 1015752373 2031504746 4063009492 5078761865 7110266611 10157523730 14220533222 20315047460 28441066444 35551333055 71102666110 142205332220