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432220020414220 = 225416171847462529
BaseRepresentation
bin110001001000110100001000…
…0110010000001011100001100
32002200100211102101000211101101
41202101220100302001130030
5423122443100211223340
64131131045232152444
7160016603013443323
oct14221502062013414
92080324371024341
10432220020414220
1111579a532631205
1240587176398724
1315723233214c7c
1478a37bc4430ba
1534e807bca8c9a
hex1891a10c8170c

432220020414220 has 96 divisors (see below), whose sum is σ = 931813352426880. Its totient is φ = 168306316738560.

The previous prime is 432220020414181. The next prime is 432220020414307. The reversal of 432220020414220 is 22414020022234.

It is a happy 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, 934239916 + ... + 934702444.

It is an arithmetic number, because the mean of its divisors is an integer number (9706389087780).

Almost surely, 2432220020414220 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 432220020414220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465906676213440).

432220020414220 is an abundant number, since it is smaller than the sum of its proper divisors (499593332012660).

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

432220020414220 is a wasteful number, since it uses less digits than its factorization.

432220020414220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465043 (or 465041 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 432220020414220 its reverse (22414020022234), we get a palindrome (454634040436454).

The spelling of 432220020414220 in words is "four hundred thirty-two trillion, two hundred twenty billion, twenty million, four hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 617 820 1234 1847 2468 3085 3694 6170 7388 9235 12340 18470 25297 36940 50594 75727 101188 126485 151454 252970 302908 378635 462529 505940 757270 925058 1139599 1514540 1850116 2279198 2312645 4558396 4625290 5697995 9250580 11395990 18963689 22791980 37927378 46723559 75854756 93447118 94818445 186894236 189636890 233617795 285380393 379273780 467235590 570760786 854291063 934471180 1141521572 1426901965 1708582126 2853803930 3417164252 4271455315 5707607860 8542910630 11700596113 17085821260 23401192226 35025933583 46802384452 58502980565 70051867166 117005961130 140103734332 175129667915 234011922260 350259335830 527097585871 700518671660 1054195171742 2108390343484 2635487929355 5270975858710 10541951717420 21611001020711 43222002041422 86444004082844 108055005103555 216110010207110 432220020414220