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212013332220 = 223537182352387
BaseRepresentation
bin1100010101110011111…
…0101011011011111100
3202021020120111012012210
43011130332223123330
511433200403112340
6241221513300420
721213613406124
oct3053476533374
9667216435183
10212013332220
1181a06aa9538
123510aa04710
1316cba171191
14a3937adc84
1557ace7a180
hex315cfab6fc

212013332220 has 96 divisors (see below), whose sum is σ = 610027665408. Its totient is φ = 54977640192.

The previous prime is 212013332213. The next prime is 212013332221. The reversal of 212013332220 is 22233310212.

It is a happy number.

212013332220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212013332221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4020867 + ... + 4073253.

It is an arithmetic number, because the mean of its divisors is an integer number (6354454848).

Almost surely, 2212013332220 is an apocalyptic number.

212013332220 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 212013332220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305013832704).

212013332220 is an abundant number, since it is smaller than the sum of its proper divisors (398014333188).

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

212013332220 is a wasteful number, since it uses less digits than its factorization.

212013332220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54259 (or 54257 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 212013332220 its reverse (22233310212), we get a palindrome (234246642432).

The spelling of 212013332220 in words is "two hundred twelve billion, thirteen million, three hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 1823 2220 3646 5469 7292 9115 10938 18230 21876 27345 36460 52387 54690 67451 104774 109380 134902 157161 202353 209548 261935 269804 314322 337255 404706 523870 628644 674510 785805 809412 1011765 1047740 1349020 1571610 1938319 2023530 3143220 3876638 4047060 5814957 7753276 9691595 11629914 19383190 23259828 29074785 38766380 58149570 95501501 116299140 191003002 286504503 382006004 477507505 573009006 955015010 1146018012 1432522515 1910030020 2865045030 3533555537 5730090060 7067111074 10600666611 14134222148 17667777685 21201333222 35335555370 42402666444 53003333055 70671110740 106006666110 212013332220