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241223211420 = 223571127944273
BaseRepresentation
bin1110000010101000000…
…1100001100110011100
3212001122021000210121120
43200222001201212130
512423011120231140
6302452202330540
723266510315602
oct3405201414634
9761567023546
10241223211420
119333623a074
123a9011b9a50
1319993931c79
14b964d01872
15641c52e1d0
hex382a06199c

241223211420 has 96 divisors (see below), whose sum is σ = 685489029120. Its totient is φ = 63369169920.

The previous prime is 241223211419. The next prime is 241223211457. The reversal of 241223211420 is 24112322142.

241223211420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5426404 + ... + 5470676.

It is an arithmetic number, because the mean of its divisors is an integer number (7140510720).

Almost surely, 2241223211420 is an apocalyptic number.

241223211420 is a gapful number since it is divisible by the number (20) 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 241223211420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342744514560).

241223211420 is an abundant number, since it is smaller than the sum of its proper divisors (444265817700).

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

241223211420 is a wasteful number, since it uses less digits than its factorization.

241223211420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45635 (or 45633 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 241223211420 its reverse (24112322142), we get a palindrome (265335533562).

The spelling of 241223211420 in words is "two hundred forty-one billion, two hundred twenty-three million, two hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1279 1420 2130 2558 3837 4260 5116 6395 7674 12790 15348 19185 25580 38370 44273 76740 88546 90809 132819 177092 181618 221365 265638 272427 363236 442730 454045 531276 544854 664095 885460 908090 1089708 1328190 1362135 1816180 2656380 2724270 3143383 5448540 6286766 9430149 12573532 15716915 18860298 31433830 37720596 47150745 56625167 62867660 94301490 113250334 169875501 188602980 226500668 283125835 339751002 566251670 679502004 849377505 1132503340 1698755010 3397510020 4020386857 8040773714 12061160571 16081547428 20101934285 24122321142 40203868570 48244642284 60305802855 80407737140 120611605710 241223211420