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223221032020 = 225747186118229
BaseRepresentation
bin1100111111100100000…
…0101010010001010100
3210100011122202100000101
43033321000222101110
512124124041011040
6250314001223444
722061424315550
oct3177100522124
9710148670011
10223221032020
11867384a9258
1237318331b84
131808511a6cc
14ab380a8860
155c16d9509a
hex33f902a454

223221032020 has 96 divisors (see below), whose sum is σ = 547453025280. Its totient is φ = 74860208640.

The previous prime is 223221031993. The next prime is 223221032029. The reversal of 223221032020 is 20230122322.

It is a super-3 number, since 3×2232210320203 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223221032029) 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, 12236266 + ... + 12254494.

It is an arithmetic number, because the mean of its divisors is an integer number (5702635680).

Almost surely, 2223221032020 is an apocalyptic number.

223221032020 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 223221032020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273726512640).

223221032020 is an abundant number, since it is smaller than the sum of its proper divisors (324231993260).

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

223221032020 is a wasteful number, since it uses less digits than its factorization.

223221032020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20153 (or 20151 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 223221032020 its reverse (20230122322), we get a palindrome (243451154342).

The spelling of 223221032020 in words is "two hundred twenty-three billion, two hundred twenty-one million, thirty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 658 940 1316 1645 1861 3290 3722 6580 7444 9305 13027 18229 18610 26054 36458 37220 52108 65135 72916 87467 91145 127603 130270 174934 182290 255206 260540 349868 364580 437335 510412 612269 638015 856763 874670 1224538 1276030 1713526 1749340 2449076 2552060 3061345 3427052 4283815 5997341 6122690 8567630 11994682 12245380 17135260 23989364 29986705 33924169 59973410 67848338 119946820 135696676 169620845 237469183 339241690 474938366 678483380 949876732 1187345915 1594435943 2374691830 3188871886 4749383660 6377743772 7972179715 11161051601 15944359430 22322103202 31888718860 44644206404 55805258005 111610516010 223221032020