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212464212 = 22337478523
BaseRepresentation
bin11001010100111…
…11001001010100
3112210210022002220
430222133021110
5413342323322
633025502340
75156626122
oct1452371124
9483708086
10212464212
11a9a26564
125b1a19b0
133502c68c
1420308912
15139bc55c
hexca9f254

212464212 has 24 divisors (see below), whose sum is σ = 509149536. Its totient is φ = 68907168.

The previous prime is 212464211. The next prime is 212464223.

It is a happy number.

212464212 is nontrivially palindromic in base 10.

212464212 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212464211) 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, 238818 + ... + 239705.

It is an arithmetic number, because the mean of its divisors is an integer number (21214564).

Almost surely, 2212464212 is an apocalyptic number.

It is an amenable number.

212464212 is an abundant number, since it is smaller than the sum of its proper divisors (296685324).

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

212464212 is a wasteful number, since it uses less digits than its factorization.

212464212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478567 (or 478565 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 212464212 is about 14576.1521671530. The cubic root of 212464212 is about 596.7080941798.

The spelling of 212464212 in words is "two hundred twelve million, four hundred sixty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 478523 957046 1435569 1914092 2871138 5742276 17705351 35410702 53116053 70821404 106232106 212464212