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220554113444 = 2273617137117
BaseRepresentation
bin1100110101101000001…
…1001011000110100100
3210002021210110211111022
43031122003023012210
512103143323112234
6245153212030312
721635352014000
oct3153203130644
9702253424438
10220554113444
118559a057915
12368b3162398
1317a4b747692
14a963c07700
155b0cb96e2e
hex335a0cb1a4

220554113444 has 96 divisors (see below), whose sum is σ = 463945305600. Its totient is φ = 91661673600.

The previous prime is 220554113387. The next prime is 220554113473. The reversal of 220554113444 is 444311455022.

It is a happy number.

It is a super-2 number, since 2×2205541134442 (a number of 23 digits) contains 22 as substring.

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, 5923574 + ... + 5960690.

It is an arithmetic number, because the mean of its divisors is an integer number (4832763600).

Almost surely, 2220554113444 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 220554113444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231972652800).

220554113444 is an abundant number, since it is smaller than the sum of its proper divisors (243391192156).

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

220554113444 is a wasteful number, since it uses less digits than its factorization.

220554113444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37274 (or 37258 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 220554113444 its reverse (444311455022), we get a palindrome (664865568466).

The spelling of 220554113444 in words is "two hundred twenty billion, five hundred fifty-four million, one hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 49 61 71 98 122 142 196 244 284 343 427 497 686 854 994 1372 1708 1988 2989 3479 4331 5978 6958 8662 11956 13916 17324 20923 24353 30317 37117 41846 48706 60634 74234 83692 97412 121268 148468 212219 259819 424438 519638 848876 1039276 1485533 1818733 2264137 2635307 2971066 3637466 4528274 5270614 5942132 7274932 9056548 10541228 12731131 15848959 18447149 25462262 31697918 36894298 50924524 63395836 73788596 110942713 129130043 160753727 221885426 258260086 321507454 443770852 516520172 643014908 776598991 903910301 1125276089 1553197982 1807820602 2250552178 3106395964 3615641204 4501104356 7876932623 15753865246 31507730492 55138528361 110277056722 220554113444