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232221201440144 = 247413146144339
BaseRepresentation
bin110100110011010000110110…
…001110001001110110010000
31010110020010111210201002210212
4310303100312032021312100
5220414203010032041034
62141520540332143252
766625266565520000
oct6463206616116620
91113203453632725
10232221201440144
1167aa1505245144
1222066036607b28
139c764998360c7
14414b7cd610000
151bca9167582ce
hexd33436389d90

232221201440144 has 100 divisors (see below), whose sum is σ = 528892212623280. Its totient is φ = 98763649508160.

The previous prime is 232221201440047. The next prime is 232221201440153. The reversal of 232221201440144 is 441044102122232.

It is a super-2 number, since 2×2322212014401442 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 232221201440144.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18039674 + ... + 28104665.

Almost surely, 2232221201440144 is an apocalyptic number.

It is an amenable number.

232221201440144 is an abundant number, since it is smaller than the sum of its proper divisors (296671011183136).

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

232221201440144 is an equidigital number, since it uses as much as digits as its factorization.

232221201440144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46144506 (or 46144479 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 232221201440144 its reverse (441044102122232), we get a palindrome (673265303562376).

The spelling of 232221201440144 in words is "two hundred thirty-two trillion, two hundred twenty-one billion, two hundred one million, four hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 131 196 262 343 392 524 686 784 917 1048 1372 1834 2096 2401 2744 3668 4802 5488 6419 7336 9604 12838 14672 19208 25676 38416 44933 51352 89866 102704 179732 314531 359464 629062 718928 1258124 2516248 5032496 46144339 92288678 184577356 323010373 369154712 646020746 738309424 1292041492 2261072611 2584082984 4522145222 5168165968 6044908409 9044290444 12089816818 15827508277 18088580888 24179633636 31655016554 36177161776 42314358863 48359267272 63310033108 84628717726 96718534544 110792557939 126620066216 169257435452 221585115878 253240132432 296200512041 338514870904 443170231756 592401024082 677029741808 886340463512 1184802048164 1772680927024 2073403584287 2369604096328 4146807168574 4739208192656 8293614337148 14513825090009 16587228674296 29027650180018 33174457348592 58055300360036 116110600720072 232221201440144