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21222033434032 = 2447791409253531
BaseRepresentation
bin1001101001101001000111…
…10000111010010110110000
32210010210202222222000222111
410310310203300322112300
510240200211024342112
6113045133443415104
74320145525563634
oct464644360722660
983123688860874
1021222033434032
116842239686242
122468b80084494
13bac2c9628772
1453521ab4adc4
1526c0790a65a7
hex134d23c3a5b0

21222033434032 has 80 divisors (see below), whose sum is σ = 42554433484800. Its totient is φ = 10246473768960.

The previous prime is 21222033434009. The next prime is 21222033434057. The reversal of 21222033434032 is 23043433022212.

It is a junction number, because it is equal to n+sod(n) for n = 21222033433985 and 21222033434003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83579107 + ... + 83832637.

It is an arithmetic number, because the mean of its divisors is an integer number (531930418560).

Almost surely, 221222033434032 is an apocalyptic number.

It is an amenable number.

21222033434032 is an abundant number, since it is smaller than the sum of its proper divisors (21332400050768).

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

21222033434032 is a wasteful number, since it uses less digits than its factorization.

21222033434032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255074 (or 255068 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 21222033434032 its reverse (23043433022212), we get a palindrome (44265466456244).

The spelling of 21222033434032 in words is "twenty-one trillion, two hundred twenty-two billion, thirty-three million, four hundred thirty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 47 79 94 158 188 316 376 632 752 1264 1409 2818 3713 5636 7426 11272 14852 22544 29704 59408 66223 111311 132446 222622 253531 264892 445244 507062 529784 890488 1014124 1059568 1780976 2028248 4056496 5231617 10463234 11915957 20028949 20926468 23831914 40057898 41852936 47663828 80115796 83705872 95327656 160231592 190655312 320463184 357225179 714450358 941360603 1428900716 1882721206 2857801432 3765442412 5715602864 7530884824 15061769648 16789583413 28220789141 33579166826 56441578282 67158333652 112883156564 134316667304 225766313128 268633334608 451532626256 1326377089627 2652754179254 5305508358508 10611016717016 21222033434032