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3213222320 = 2457113591453
BaseRepresentation
bin1011111110000101…
…1110000110110000
322021221020121101002
42333201132012300
523040041103240
61250502301132
7142424640050
oct27741360660
98257217332
103213222320
1113a9864540
127581277a8
133c291aca9
14226a6b560
1513c160d15
hexbf85e1b0

3213222320 has 160 divisors (see below), whose sum is σ = 9346544640. Its totient is φ = 998046720.

The previous prime is 3213222319. The next prime is 3213222329. The reversal of 3213222320 is 232223123.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3213222292 and 3213222301.

It is not an unprimeable number, because it can be changed into a prime (3213222329) 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 31 ways as a sum of consecutive naturals, for example, 2210714 + ... + 2212166.

It is an arithmetic number, because the mean of its divisors is an integer number (58415904).

Almost surely, 23213222320 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 3213222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4673272320).

3213222320 is an abundant number, since it is smaller than the sum of its proper divisors (6133322320).

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

3213222320 is a wasteful number, since it uses less digits than its factorization.

3213222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3213222320 is about 56685.2919195094. The cubic root of 3213222320 is about 1475.6394538505.

Adding to 3213222320 its reverse (232223123), we get a palindrome (3445445443).

The spelling of 3213222320 in words is "three billion, two hundred thirteen million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 359 385 440 560 616 718 770 880 1232 1436 1453 1540 1795 2513 2872 2906 3080 3590 3949 5026 5744 5812 6160 7180 7265 7898 10052 10171 11624 12565 14360 14530 15796 15983 19745 20104 20342 23248 25130 27643 28720 29060 31592 31966 39490 40208 40684 50260 50855 55286 58120 63184 63932 78980 79915 81368 100520 101710 110572 111881 116240 127864 138215 157960 159830 162736 201040 203420 221144 223762 255728 276430 315920 319660 406840 442288 447524 521627 552860 559405 639320 813680 895048 1043254 1105720 1118810 1278640 1790096 2086508 2211440 2237620 2608135 3651389 4173016 4475240 5216270 5737897 7302778 8346032 8950480 10432540 11475794 14605556 18256945 20865080 22951588 28689485 29211112 36513890 40165279 41730160 45903176 57378970 58422224 73027780 80330558 91806352 114757940 146055560 160661116 200826395 229515880 292111120 321322232 401652790 459031760 642644464 803305580 1606611160 3213222320