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212442412 = 227131493917
BaseRepresentation
bin11001010100110…
…01110100101100
3112210202012012111
430222121310230
5413341124122
633025213404
75156505430
oct1452316454
9483665174
10212442412
11a9a11146
125b191264
1335022790
14203009c0
15139b5d77
hexca99d2c

212442412 has 48 divisors (see below), whose sum is σ = 460756800. Its totient is φ = 83457792.

The previous prime is 212442407. The next prime is 212442413. The reversal of 212442412 is 214244212.

212442412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (212442413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52278 + ... + 56194.

It is an arithmetic number, because the mean of its divisors is an integer number (9599100).

Almost surely, 2212442412 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 212442412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230378400).

212442412 is an abundant number, since it is smaller than the sum of its proper divisors (248314388).

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

212442412 is a wasteful number, since it uses less digits than its factorization.

212442412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4090 (or 4088 counting only the distinct ones).

The product of its digits is 1024, while the sum is 22.

The square root of 212442412 is about 14575.4043511664. The cubic root of 212442412 is about 596.6876849678.

Adding to 212442412 its reverse (214244212), we get a palindrome (426686624).

The spelling of 212442412 in words is "two hundred twelve million, four hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 149 182 298 364 596 1043 1937 2086 3874 3917 4172 7748 7834 13559 15668 27118 27419 50921 54236 54838 101842 109676 203684 356447 583633 712894 1167266 1425788 2334532 4085431 7587229 8170862 15174458 16341724 30348916 53110603 106221206 212442412