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212415324 = 2231115110657
BaseRepresentation
bin11001010100100…
…11001101011100
3112210200211001020
430222103031130
5413334242244
633024444140
75156333442
oct1452231534
9483624036
10212415324
11a99a2860
125b179650
1335013354
14202d4b92
15139acd19
hexca9335c

212415324 has 48 divisors (see below), whose sum is σ = 544325376. Its totient is φ = 63936000.

The previous prime is 212415311. The next prime is 212415341. The reversal of 212415324 is 423514212.

212415324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212415294 and 212415303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14604 + ... + 25260.

It is an arithmetic number, because the mean of its divisors is an integer number (11340112).

Almost surely, 2212415324 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 212415324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272162688).

212415324 is an abundant number, since it is smaller than the sum of its proper divisors (331910052).

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

212415324 is a wasteful number, since it uses less digits than its factorization.

212415324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10826 (or 10824 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 212415324 is about 14574.4750848873. The cubic root of 212415324 is about 596.6623231723.

Adding to 212415324 its reverse (423514212), we get a palindrome (635929536).

It can be divided in two parts, 21241 and 5324, that added together give a triangular number (26565 = T230).

The spelling of 212415324 in words is "two hundred twelve million, four hundred fifteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 151 302 453 604 906 1661 1812 3322 4983 6644 9966 10657 19932 21314 31971 42628 63942 117227 127884 234454 351681 468908 703362 1406724 1609207 3218414 4827621 6436828 9655242 17701277 19310484 35402554 53103831 70805108 106207662 212415324