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2432205425220 = 2235172411235117
BaseRepresentation
bin100011011001001010101…
…111011000101001000100
322121111221120121022222120
4203121022233120221010
5304322124042101340
65101201215125540
7340502214001044
oct43311257305104
98544846538876
102432205425220
1185854661188a
123334648138b0
1314848214862c
1485a0dd4b724
1543401e3e4d0
hex2364abd8a44

2432205425220 has 48 divisors (see below), whose sum is σ = 6810243655488. Its totient is φ = 648581592960.

The previous prime is 2432205425191. The next prime is 2432205425297. The reversal of 2432205425220 is 225245022342.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10227102 + ... + 10462218.

It is an arithmetic number, because the mean of its divisors is an integer number (141880076156).

Almost surely, 22432205425220 is an apocalyptic number.

2432205425220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2432205425220 is an abundant number, since it is smaller than the sum of its proper divisors (4378038230268).

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

2432205425220 is a wasteful number, since it uses less digits than its factorization.

2432205425220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407540 (or 407538 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 33.

The spelling of 2432205425220 in words is "two trillion, four hundred thirty-two billion, two hundred five million, four hundred twenty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 172411 235117 344822 470234 517233 689644 705351 862055 940468 1034466 1175585 1410702 1724110 2068932 2351170 2586165 2821404 3448220 3526755 4702340 5172330 7053510 10344660 14107020 40536757087 81073514174 121610271261 162147028348 202683785435 243220542522 405367570870 486441085044 608051356305 810735141740 1216102712610 2432205425220