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220321002320 = 24517438942331
BaseRepresentation
bin1100110100110000100…
…1111011001101010000
3210001200112211120010222
43031030021323031100
512102204134033240
6245114123412212
721626521422506
oct3151411731520
9701615746128
10220321002320
118548a509aa1
1236849084068
1317a123692c3
14a940c86676
155ae749beb5
hex334c27b350

220321002320 has 160 divisors (see below), whose sum is σ = 561241042560. Its totient is φ = 80103260160.

The previous prime is 220321002311. The next prime is 220321002331. The reversal of 220321002320 is 23200123022.

220321002320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

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, 5183555 + ... + 5225885.

It is an arithmetic number, because the mean of its divisors is an integer number (3507756516).

Almost surely, 2220321002320 is an apocalyptic number.

220321002320 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 220321002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280620521280).

220321002320 is an abundant number, since it is smaller than the sum of its proper divisors (340920040240).

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

220321002320 is a wasteful number, since it uses less digits than its factorization.

220321002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42493 (or 42487 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 220321002320 its reverse (23200123022), we get a palindrome (243521125342).

The spelling of 220321002320 in words is "two hundred twenty billion, three hundred twenty-one million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 43 68 80 85 86 89 136 170 172 178 215 272 340 344 356 430 445 680 688 712 731 860 890 1360 1424 1462 1513 1720 1780 2924 3026 3440 3560 3655 3827 5848 6052 7120 7310 7565 7654 11696 12104 14620 15130 15308 19135 24208 29240 30260 30616 38270 42331 58480 60520 61232 65059 76540 84662 121040 130118 153080 169324 211655 260236 306160 325295 338648 423310 520472 650590 677296 719627 846620 1040944 1301180 1439254 1693240 1820233 2602360 2878508 3386480 3598135 3640466 3767459 5204720 5757016 7196270 7280932 7534918 9101165 11514032 14392540 14561864 15069836 18202330 18837295 28785080 29123728 30139672 30943961 36404660 37674590 57570160 60279344 61887922 64046803 72809320 75349180 123775844 128093606 145618640 150698360 154719805 162000737 247551688 256187212 301396720 309439610 320234015 324001474 495103376 512374424 618879220 640468030 648002948 810003685 1024748848 1237758440 1280936060 1296005896 1620007370 2475516880 2561872120 2592011792 2754012529 3240014740 5123744240 5508025058 6480029480 11016050116 12960058960 13770062645 22032100232 27540125290 44064200464 55080250580 110160501160 220321002320