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223232020 = 2251123157281
BaseRepresentation
bin11010100111001…
…00000000010100
3120120001100202121
431103210000110
5424121411040
634052345324
75350304134
oct1523440024
9516040677
10223232020
11105010580
1262915244
133732c86b
142190cac4
15148e7c4a
hexd4e4014

223232020 has 96 divisors (see below), whose sum is σ = 538949376. Its totient is φ = 76876800.

The previous prime is 223232011. The next prime is 223232039. The reversal of 223232020 is 20232322.

It is a super-3 number, since 3×2232320203 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223231985 and 223232003.

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, 794280 + ... + 794560.

It is an arithmetic number, because the mean of its divisors is an integer number (5614056).

Almost surely, 2223232020 is an apocalyptic number.

223232020 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 223232020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269474688).

223232020 is an abundant number, since it is smaller than the sum of its proper divisors (315717356).

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

223232020 is a wasteful number, since it uses less digits than its factorization.

223232020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 223232020 is about 14940.9511076103. The cubic root of 223232020 is about 606.6229402664.

Adding to 223232020 its reverse (20232322), we get a palindrome (243464342).

The spelling of 223232020 in words is "two hundred twenty-three million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 157 220 230 253 281 314 460 506 562 628 785 1012 1124 1265 1405 1570 1727 2530 2810 3091 3140 3454 3611 5060 5620 6182 6463 6908 7222 8635 12364 12926 14444 15455 17270 18055 25852 30910 32315 34540 36110 39721 44117 61820 64630 71093 72220 79442 88234 129260 142186 158884 176468 198605 220585 284372 355465 397210 441170 485287 710930 794420 882340 970574 1014691 1421860 1941148 2029382 2426435 4058764 4852870 5073455 9705740 10146910 11161601 20293820 22323202 44646404 55808005 111616010 223232020