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212106544 = 24134012543
BaseRepresentation
bin11001010010001…
…11110100110000
3112210010010110221
430221013310300
5413244402134
633014102424
75153606266
oct1451076460
9483103427
10212106544
11a9801871
125b04aa14
1334c35940
1420254436
151394b5b4
hexca47d30

212106544 has 40 divisors (see below), whose sum is σ = 443846592. Its totient is φ = 97612800.

The previous prime is 212106541. The next prime is 212106553. The reversal of 212106544 is 445601212.

It is a happy number.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (212106541) 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 7 ways as a sum of consecutive naturals, for example, 82137 + ... + 84679.

Almost surely, 2212106544 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 212106544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221923296).

212106544 is an abundant number, since it is smaller than the sum of its proper divisors (231740048).

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

212106544 is a wasteful number, since it uses less digits than its factorization.

212106544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965 (or 2959 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 212106544 is about 14563.8780549687. The cubic root of 212106544 is about 596.3730679313.

Adding to 212106544 its reverse (445601212), we get a palindrome (657707756).

The spelling of 212106544 in words is "two hundred twelve million, one hundred six thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 401 802 1604 2543 3208 5086 5213 6416 10172 10426 20344 20852 33059 40688 41704 66118 83408 132236 264472 528944 1019743 2039486 4078972 8157944 13256659 16315888 26513318 53026636 106053272 212106544