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220005413201430 = 23352928097753921
BaseRepresentation
bin110010000001100000000000…
…100000001010011000010110
31001211222022102111222200121000
4302001200000200022120112
5212314032041234421210
62055525031435204130
764224603142650663
oct6201400040123026
91054868374880530
10220005413201430
116411185424a77a
12208126338a6646
13959b562bb588c
143c48466b82a6a
151a67ca429bac0
hexc8180080a616

220005413201430 has 64 divisors (see below), whose sum is σ = 606911484715200. Its totient is φ = 56645071902720.

The previous prime is 220005413201381. The next prime is 220005413201443. The reversal of 220005413201430 is 34102314500022.

220005413201430 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 0 + 5 + 413 + 201 + 43 + 0 = 666.

It is a super-6 number, since 6×2200054132014306 (a number of 87 digits) contains 666666 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 220005413201394 and 220005413201403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14048869131 + ... + 14048884790.

It is an arithmetic number, because the mean of its divisors is an integer number (9482991948675).

Almost surely, 2220005413201430 is an apocalyptic number.

220005413201430 is an abundant number, since it is smaller than the sum of its proper divisors (386906071513770).

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

220005413201430 is a wasteful number, since it uses less digits than its factorization.

220005413201430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28097753966 (or 28097753960 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 220005413201430 its reverse (34102314500022), we get a palindrome (254107727701452).

The spelling of 220005413201430 in words is "two hundred twenty trillion, five billion, four hundred thirteen million, two hundred one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 522 783 870 1305 1566 2610 3915 7830 28097753921 56195507842 84293261763 140488769605 168586523526 252879785289 280977539210 421466308815 505759570578 758639355867 814834863709 842932617630 1264398926445 1517278711734 1629669727418 2444504591127 2528797852890 3793196779335 4074174318545 4889009182254 7333513773381 7586393558670 8148348637090 12222522955635 14667027546762 22000541320143 24445045911270 36667568866905 44001082640286 73335137733810 110002706600715 220005413201430