Search a number
-
+
21232223320 = 2357211289527
BaseRepresentation
bin10011110001100010…
…100000010001011000
32000210201011200212111
4103301202200101120
5321440422121240
613430504122104
71351103630500
oct236142402130
960721150774
1021232223320
119006044700
124146766334
132004a72069
141055c02a00
1584401e1ea
hex4f18a0458

21232223320 has 144 divisors (see below), whose sum is σ = 61084059120. Its totient is φ = 6617761920.

The previous prime is 21232223317. The next prime is 21232223377. The reversal of 21232223320 is 2332223212.

It is a super-2 number, since 2×212322233202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 21232223291 and 21232223300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 192397 + ... + 281923.

It is an arithmetic number, because the mean of its divisors is an integer number (424194855).

Almost surely, 221232223320 is an apocalyptic number.

21232223320 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 21232223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30542029560).

21232223320 is an abundant number, since it is smaller than the sum of its proper divisors (39851835800).

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

21232223320 is a wasteful number, since it uses less digits than its factorization.

21232223320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89574 (or 89552 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 21232223320 its reverse (2332223212), we get a palindrome (23564446532).

The spelling of 21232223320 in words is "twenty-one billion, two hundred thirty-two million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 121 140 154 196 220 242 245 280 308 385 392 440 484 490 539 605 616 770 847 968 980 1078 1210 1540 1694 1960 2156 2420 2695 3080 3388 4235 4312 4840 5390 5929 6776 8470 10780 11858 16940 21560 23716 29645 33880 47432 59290 89527 118580 179054 237160 358108 447635 626689 716216 895270 984797 1253378 1790540 1969594 2506756 3133445 3581080 3939188 4386823 4923985 5013512 6266890 6893579 7878376 8773646 9847970 10832767 12533780 13787158 17547292 19695940 21665534 21934115 25067560 27574316 34467895 35094584 39391880 43331068 43868230 48255053 54163835 55148632 68935790 75829369 86662136 87736460 96510106 108327670 137871580 151658738 175472920 193020212 216655340 241275265 275743160 303317476 379146845 386040424 433310680 482550530 530805583 606634952 758293690 965101060 1061611166 1516587380 1930202120 2123222332 2654027915 3033174760 4246444664 5308055830 10616111660 21232223320