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220343645412 = 2233111093169693
BaseRepresentation
bin1100110100110110000…
…0010011010011100100
3210001202010102221122000
43031031200103103210
512102230433123122
6245120253005300
721630215040402
oct3151540232344
9701663387560
10220343645412
11854a12750a0
1236854783830
1317a16c66797
14a943c9c472
155ae94710ac
hex334d8134e4

220343645412 has 96 divisors (see below), whose sum is σ = 623767992960. Its totient is φ = 66709319040.

The previous prime is 220343645387. The next prime is 220343645413. The reversal of 220343645412 is 214546343022.

220343645412 is a `hidden beast` number, since 2 + 2 + 0 + 3 + 4 + 3 + 645 + 4 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (220343645413) by changing a digit.

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, 1213638 + ... + 1383330.

It is an arithmetic number, because the mean of its divisors is an integer number (6497583260).

Almost surely, 2220343645412 is an apocalyptic number.

220343645412 is a gapful number since it is divisible by the number (22) 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 220343645412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311883996480).

220343645412 is an abundant number, since it is smaller than the sum of its proper divisors (403424347548).

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

220343645412 is a wasteful number, since it uses less digits than its factorization.

220343645412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170810 (or 170802 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 220343645412 its reverse (214546343022), we get a palindrome (434889988434).

The spelling of 220343645412 in words is "two hundred twenty billion, three hundred forty-three million, six hundred forty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1093 1188 2186 3279 4372 6558 9837 12023 13116 19674 24046 29511 36069 39348 48092 59022 72138 108207 118044 144276 169693 216414 324621 339386 432828 509079 649242 678772 1018158 1298484 1527237 1866623 2036316 3054474 3733246 4581711 5599869 6108948 7466492 9163422 11199738 16799607 18326844 22399476 33599214 50398821 67198428 100797642 185474449 201595284 370948898 556423347 741897796 1112846694 1669270041 2040218939 2225693388 3338540082 4080437878 5007810123 6120656817 6677080164 8160875756 10015620246 12241313634 18361970451 20031240492 24482627268 36723940902 55085911353 73447881804 110171822706 220343645412