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223032223120 = 2457419713947
BaseRepresentation
bin1100111110110111000…
…0011010010110010000
3210022200111110211220011
43033231300122112100
512123232222114440
6250243134324304
722053642421360
oct3175560322620
9708614424804
10223032223120
118665096a343
1237285059694
1318054c81175
14ab1ad9a9a0
155c054eb9ea
hex33edc1a590

223032223120 has 80 divisors (see below), whose sum is σ = 607082894208. Its totient is φ = 74603105280.

The previous prime is 223032223097. The next prime is 223032223123. The reversal of 223032223120 is 21322230322.

223032223120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 223032223091 and 223032223100.

It is not an unprimeable number, because it can be changed into a prime (223032223123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4834014 + ... + 4879933.

Almost surely, 2223032223120 is an apocalyptic number.

223032223120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223032223120 is an abundant number, since it is smaller than the sum of its proper divisors (384050671088).

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

223032223120 is a wasteful number, since it uses less digits than its factorization.

223032223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9714008 (or 9714002 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 223032223120 its reverse (21322230322), we get a palindrome (244354453442).

The spelling of 223032223120 in words is "two hundred twenty-three billion, thirty-two million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 280 287 328 410 560 574 656 820 1148 1435 1640 2296 2870 3280 4592 5740 11480 22960 9713947 19427894 38855788 48569735 67997629 77711576 97139470 135995258 155423152 194278940 271990516 339988145 388557880 398271827 543981032 679976290 777115760 796543654 1087962064 1359952580 1593087308 1991359135 2719905160 2787902789 3186174616 3982718270 5439810320 5575805578 6372349232 7965436540 11151611156 13939513945 15930873080 22303222312 27879027890 31861746160 44606444624 55758055780 111516111560 223032223120