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212420404 = 22737379541
BaseRepresentation
bin11001010100101…
…00011100110100
3112210201002000101
430222110130310
5413334423104
633024523444
75156354320
oct1452243464
9483632011
10212420404
11a99a6659
125b180584
1335015761
14202d6980
15139ae5a4
hexca94734

212420404 has 48 divisors (see below), whose sum is σ = 438282880. Its totient is φ = 88179840.

The previous prime is 212420393. The next prime is 212420407. The reversal of 212420404 is 404024212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212420407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392374 + ... + 392914.

Almost surely, 2212420404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212420404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219141440).

212420404 is an abundant number, since it is smaller than the sum of its proper divisors (225862476).

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

212420404 is a wasteful number, since it uses less digits than its factorization.

212420404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 212420404 is about 14574.6493611339. The cubic root of 212420404 is about 596.6670796095.

Adding to 212420404 its reverse (404024212), we get a palindrome (616444616).

The spelling of 212420404 in words is "two hundred twelve million, four hundred twenty thousand, four hundred four".

Divisors: 1 2 4 7 14 28 37 74 148 259 379 518 541 758 1036 1082 1516 2164 2653 3787 5306 7574 10612 14023 15148 20017 28046 40034 56092 80068 98161 140119 196322 205039 280238 392644 410078 560476 820156 1435273 2870546 5741092 7586443 15172886 30345772 53105101 106210202 212420404