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212033230220 = 225723119493581
BaseRepresentation
bin1100010101111000101…
…0100101010110001100
3202021021221221010010202
43011132022211112030
511433221001331340
6241223503553032
721214244501600
oct3053612452614
9667257833122
10212033230220
1181a1725a169
12351155bb778
1316cc131a046
14a3962ad500
1557aeaaac15
hex315e2a558c

212033230220 has 144 divisors (see below), whose sum is σ = 535099219200. Its totient is φ = 70296307200.

The previous prime is 212033230219. The next prime is 212033230229. The reversal of 212033230220 is 22032330212.

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 = 212033230192 and 212033230201.

It is not an unprimeable number, because it can be changed into a prime (212033230229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59208830 + ... + 59212410.

It is an arithmetic number, because the mean of its divisors is an integer number (3715966800).

Almost surely, 2212033230220 is an apocalyptic number.

212033230220 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 212033230220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267549609600).

212033230220 is an abundant number, since it is smaller than the sum of its proper divisors (323065988980).

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

212033230220 is a wasteful number, since it uses less digits than its factorization.

212033230220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5584 (or 5575 counting only the distinct ones).

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

Adding to 212033230220 its reverse (22032330212), we get a palindrome (234065560432).

The spelling of 212033230220 in words is "two hundred twelve billion, thirty-three million, two hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 49 62 70 98 124 140 155 196 217 245 310 434 490 620 868 980 1085 1519 1949 2170 3038 3581 3898 4340 6076 7162 7595 7796 9745 13643 14324 15190 17905 19490 25067 27286 30380 35810 38980 50134 54572 60419 68215 71620 95501 100268 111011 120838 125335 136430 175469 191002 222022 241676 250670 272860 302095 350938 382004 422933 444044 477505 501340 555055 604190 701876 777077 845866 877345 955010 1110110 1208380 1554154 1691732 1754690 1910020 2114665 2220220 2960531 3108308 3509380 3885385 4229330 5439539 5921062 6979369 7770770 8458660 10879078 11842124 13958738 14802655 15541540 21758156 27197695 27917476 29605310 34896845 48855583 54395390 59210620 69793690 97711166 108790780 139587380 195422332 216360439 244277915 341989081 432720878 488555830 683978162 865441756 977111660 1081802195 1367956324 1514523073 1709945405 2163604390 3029046146 3419890810 4327208780 6058092292 6839781620 7572615365 10601661511 15145230730 21203323022 30290461460 42406646044 53008307555 106016615110 212033230220