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223221003320 = 23572499228233
BaseRepresentation
bin1100111111100100000…
…0100011010000111000
3210100011122200212122102
43033321000203100320
512124124034101240
6250314000442532
722061424136100
oct3177100432070
9710148625572
10223221003320
1186738489737
1237318319448
131808510a623
14ab3809c200
155c16d8b815
hex33f9023438

223221003320 has 96 divisors (see below), whose sum is σ = 585420210000. Its totient is φ = 76379208192.

The previous prime is 223221003319. The next prime is 223221003347. The reversal of 223221003320 is 23300122322.

It is a super-3 number, since 3×2232210033203 (a number of 35 digits) contains 333 as substring.

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 = 223221003292 and 223221003301.

It is a congruent number.

It is an unprimeable number.

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, 863924 + ... + 1092156.

Almost surely, 2223221003320 is an apocalyptic number.

223221003320 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 223221003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292710105000).

223221003320 is an abundant number, since it is smaller than the sum of its proper divisors (362199206680).

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

223221003320 is a wasteful number, since it uses less digits than its factorization.

223221003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228757 (or 228746 counting only the distinct ones).

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

Adding to 223221003320 its reverse (23300122322), we get a palindrome (246521125642).

The spelling of 223221003320 in words is "two hundred twenty-three billion, two hundred twenty-one million, three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 499 980 998 1960 1996 2495 3493 3992 4990 6986 9980 13972 17465 19960 24451 27944 34930 48902 69860 97804 122255 139720 195608 228233 244510 456466 489020 912932 978040 1141165 1597631 1825864 2282330 3195262 4564660 6390524 7988155 9129320 11183417 12781048 15976310 22366834 31952620 44733668 55917085 63905240 89467336 111834170 113888267 223668340 227776534 447336680 455553068 569441335 797217869 911106136 1138882670 1594435738 2277765340 3188871476 3986089345 4555530680 5580525083 6377742952 7972178690 11161050166 15944357380 22322100332 27902625415 31888714760 44644200664 55805250830 111610501660 223221003320