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420000212 = 22842912457
BaseRepresentation
bin11001000010001…
…011000111010100
31002021022012222102
4121002023013110
51330010001322
6105402021232
713256641262
oct3102130724
91067265872
10420000212
111a6096415
12b87a7818
1369024b48
143dacd432
1526d14792
hex1908b1d4

420000212 has 12 divisors (see below), whose sum is σ = 735146580. Its totient is φ = 209958336.

The previous prime is 420000199. The next prime is 420000223. The reversal of 420000212 is 212000024.

It can be written as a sum of positive squares in 2 ways, for example, as 206956996 + 213043216 = 14386^2 + 14596^2 .

It is a junction number, because it is equal to n+sod(n) for n = 420000193 and 420000202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27488 + ... + 39944.

It is an arithmetic number, because the mean of its divisors is an integer number (61262215).

Almost surely, 2420000212 is an apocalyptic number.

It is an amenable number.

420000212 is a deficient number, since it is larger than the sum of its proper divisors (315146368).

420000212 is a wasteful number, since it uses less digits than its factorization.

420000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20890 (or 20888 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 420000212 is about 20493.9067041889. The cubic root of 420000212 is about 748.8873647251.

Adding to 420000212 its reverse (212000024), we get a palindrome (632000236).

The spelling of 420000212 in words is "four hundred twenty million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8429 12457 16858 24914 33716 49828 105000053 210000106 420000212