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223111020 = 2235111013347
BaseRepresentation
bin11010100110001…
…10011101101100
3120112211012210010
431103012131230
5424104023040
634050013220
75346261306
oct1523063554
9515735703
10223111020
11104a38680
1262877210
13372b9772
14218ba976
15148c1e80
hexd4c676c

223111020 has 96 divisors (see below), whose sum is σ = 688455936. Its totient is φ = 53536000.

The previous prime is 223111019. The next prime is 223111051. The reversal of 223111020 is 20111322.

It is a super-3 number, since 3×2231110203 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 223110987 and 223111005.

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, 64987 + ... + 68333.

It is an arithmetic number, because the mean of its divisors is an integer number (7171416).

Almost surely, 2223111020 is an apocalyptic number.

223111020 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 223111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344227968).

223111020 is an abundant number, since it is smaller than the sum of its proper divisors (465344916).

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

223111020 is a wasteful number, since it uses less digits than its factorization.

223111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3471 (or 3469 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 223111020 is about 14936.9012850725. The cubic root of 223111020 is about 606.5133164442.

Adding to 223111020 its reverse (20111322), we get a palindrome (243222342).

The spelling of 223111020 in words is "two hundred twenty-three million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2222 3030 3333 3347 4444 5555 6060 6666 6694 10041 11110 13332 13388 16665 16735 20082 22220 33330 33470 36817 40164 50205 66660 66940 73634 100410 110451 147268 184085 200820 220902 338047 368170 441804 552255 676094 736340 1014141 1104510 1352188 1690235 2028282 2209020 3380470 3718517 4056564 5070705 6760940 7437034 10141410 11155551 14874068 18592585 20282820 22311102 37185170 44622204 55777755 74370340 111555510 223111020