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21224032514216 = 23731277337130969
BaseRepresentation
bin1001101001101100110101…
…11010110011000010101000
32210010222221022120211110022
410310312122322303002220
510240213304310423331
6113050104054540012
74320246211515020
oct464663272630250
983128838524408
1021224032514216
116843075054824
122469439667608
13bac55784024c
1453536a446a80
1526c14483667b
hex134d9aeb30a8

21224032514216 has 128 divisors (see below), whose sum is σ = 47256825907200. Its totient is φ = 8744722882560.

The previous prime is 21224032514203. The next prime is 21224032514327. The reversal of 21224032514216 is 61241523042212.

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, 161988380 + ... + 162119348.

It is an arithmetic number, because the mean of its divisors is an integer number (369193952400).

Almost surely, 221224032514216 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 21224032514216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23628412953600).

21224032514216 is an abundant number, since it is smaller than the sum of its proper divisors (26032793392984).

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

21224032514216 is a wasteful number, since it uses less digits than its factorization.

21224032514216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131627 (or 131623 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

Adding to 21224032514216 its reverse (61241523042212), we get a palindrome (82465555556428).

The spelling of 21224032514216 in words is "twenty-one trillion, two hundred twenty-four billion, thirty-two million, five hundred fourteen thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 277 337 434 554 674 868 1108 1348 1736 1939 2216 2359 2696 3878 4718 7756 8587 9436 10447 15512 17174 18872 20894 34348 41788 60109 68696 73129 83576 93349 120218 130969 146258 186698 240436 261938 292516 373396 480872 523876 585032 653443 746792 916783 1047752 1306886 1833566 2613772 2893819 3667132 4060039 5227544 5787638 7334264 8120078 11575276 16240156 20256733 23150552 28420273 32480312 36278413 40513466 44136553 56840546 72556826 81026932 88273106 113681092 145113652 162053864 176546212 227362184 253948891 290227304 308955871 353092424 507897782 617911742 1015795564 1124630803 1235823484 1368233143 2031591128 2249261606 2471646968 2736466286 4498523212 5472932572 7872415621 8997046424 9577632001 10945865144 12225825181 15744831242 19155264002 24451650362 31489662484 38310528004 48903300724 62979324968 76621056008 85580776267 97806601448 171161552534 342323105068 379000580611 684646210136 758001161222 1516002322444 2653004064277 3032004644888 5306008128554 10612016257108 21224032514216