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212028660 = 223254432659
BaseRepresentation
bin11001010001101…
…00110011110100
3112202222011122100
430220310303310
5413234404120
633012302100
75153133234
oct1450646364
9482864570
10212028660
11a97592a8
125b011930
1334c0935c
1420233cc4
1513933490
hexca34cf4

212028660 has 72 divisors (see below), whose sum is σ = 644847840. Its totient is φ = 56392128.

The previous prime is 212028647. The next prime is 212028679. The reversal of 212028660 is 66820212.

212028660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2120286602 = 89912305322791200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78411 + ... + 81069.

It is an arithmetic number, because the mean of its divisors is an integer number (8956220).

Almost surely, 2212028660 is an apocalyptic number.

212028660 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 212028660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322423920).

212028660 is an abundant number, since it is smaller than the sum of its proper divisors (432819180).

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

212028660 is a wasteful number, since it uses less digits than its factorization.

212028660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3117 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 212028660 is about 14561.2039337412. The cubic root of 212028660 is about 596.3000643589.

Adding to 212028660 its reverse (66820212), we get a palindrome (278848872).

The spelling of 212028660 in words is "two hundred twelve million, twenty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 443 886 1329 1772 2215 2658 2659 3987 4430 5316 5318 6645 7974 7977 8860 10636 13290 13295 15948 15954 19935 23931 26580 26590 31908 39870 39885 47862 53180 79740 79770 95724 119655 159540 239310 478620 1177937 2355874 3533811 4711748 5889685 7067622 10601433 11779370 14135244 17669055 21202866 23558740 35338110 42405732 53007165 70676220 106014330 212028660