Search a number
-
+
2223320213232 = 2432192707300191
BaseRepresentation
bin100000010110101000001…
…101100010011011110000
321212112210000020010000200
4200112220031202123300
5242411324433310412
64421213524115200
7316425642665646
oct40265015423360
97775700203020
102223320213232
117879a5331388
122baa89535b00
13131873099991
1479875bb5196
153cc789149dc
hex205a83626f0

2223320213232 has 120 divisors (see below), whose sum is σ = 6552134684160. Its totient is φ = 701839416960.

The previous prime is 2223320213207. The next prime is 2223320213239. The reversal of 2223320213232 is 2323120233222.

2223320213232 is a `hidden beast` number, since 2 + 2 + 2 + 332 + 0 + 2 + 1 + 323 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2223320213196 and 2223320213205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223320213239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7256257 + ... + 7556447.

It is an arithmetic number, because the mean of its divisors is an integer number (54601122368).

Almost surely, 22223320213232 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 2223320213232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276067342080).

2223320213232 is an abundant number, since it is smaller than the sum of its proper divisors (4328814470928).

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

2223320213232 is a wasteful number, since it uses less digits than its factorization.

2223320213232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302931 (or 302922 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 2223320213232 its reverse (2323120233222), we get a palindrome (4546440446454).

The spelling of 2223320213232 in words is "two trillion, two hundred twenty-three billion, three hundred twenty million, two hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2707 2736 5414 8121 10828 16242 21656 24363 32484 43312 48726 51433 64968 97452 102866 129936 154299 194904 205732 300191 308598 389808 411464 462897 600382 617196 822928 900573 925794 1200764 1234392 1801146 1851588 2401528 2468784 2701719 3602292 3703176 4803056 5403438 5703629 7204584 7406352 10806876 11407258 14409168 17110887 21613752 22814516 34221774 43227504 45629032 51332661 68443548 91258064 102665322 136887096 205330644 273774192 410661288 812617037 821322576 1625234074 2437851111 3250468148 4875702222 6500936296 7313553333 9751404444 13001872592 14627106666 15439723703 19502808888 29254213332 30879447406 39005617776 46319171109 58508426664 61758894812 92638342218 117016853328 123517789624 138957513327 185276684436 247035579248 277915026654 370553368872 555830053308 741106737744 1111660106616 2223320213232