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212422120 = 23552110193
BaseRepresentation
bin11001010100101…
…00110111101000
3112210201011100221
430222110313220
5413340001440
633024535424
75156362321
oct1452246750
9483634327
10212422120
11a99a7979
125b181574
1335016481
14202d7448
15139aed4a
hexca94de8

212422120 has 32 divisors (see below), whose sum is σ = 478914120. Its totient is φ = 84797440.

The previous prime is 212422087. The next prime is 212422127. The reversal of 212422120 is 21224212.

212422120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 170198116 + 42224004 = 13046^2 + 6498^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212422094 and 212422103.

It is not an unprimeable number, because it can be changed into a prime (212422127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15744 + ... + 25936.

Almost surely, 2212422120 is an apocalyptic number.

212422120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212422120 is an abundant number, since it is smaller than the sum of its proper divisors (266492000).

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

212422120 is a wasteful number, since it uses less digits than its factorization.

212422120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10725 (or 10721 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 212422120 is about 14574.7082303558. The cubic root of 212422120 is about 596.6686862944.

Adding to 212422120 its reverse (21224212), we get a palindrome (233646332).

The spelling of 212422120 in words is "two hundred twelve million, four hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 521 1042 2084 2605 4168 5210 10193 10420 20386 20840 40772 50965 81544 101930 203860 407720 5310553 10621106 21242212 26552765 42484424 53105530 106211060 212422120