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212013324 = 2232171918233
BaseRepresentation
bin11001010001100…
…01000100001100
3112202221101121100
430220301010030
5413233411244
633012103100
75153040435
oct1450610414
9482841540
10212013324
11a9748826
125b004a90
1334c02393
142022c48c
151392db69
hexca3110c

212013324 has 72 divisors (see below), whose sum is σ = 597345840. Its totient is φ = 63009792.

The previous prime is 212013323. The next prime is 212013353. The reversal of 212013324 is 423310212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212013297 and 212013306.

It is not an unprimeable number, because it can be changed into a prime (212013323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2512 + ... + 20744.

It is an arithmetic number, because the mean of its divisors is an integer number (8296470).

Almost surely, 2212013324 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 212013324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298672920).

212013324 is an abundant number, since it is smaller than the sum of its proper divisors (385332516).

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

212013324 is a wasteful number, since it uses less digits than its factorization.

212013324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18279 (or 18274 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 212013324 is about 14560.6773194107. The cubic root of 212013324 is about 596.2856872486.

Adding to 212013324 its reverse (423310212), we get a palindrome (635323536).

The spelling of 212013324 in words is "two hundred twelve million, thirteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 153 171 204 228 306 323 342 612 646 684 969 1292 1938 2907 3876 5814 11628 18233 36466 54699 72932 109398 164097 218796 309961 328194 346427 619922 656388 692854 929883 1039281 1239844 1385708 1859766 2078562 2789649 3117843 3719532 4157124 5579298 5889259 6235686 11158596 11778518 12471372 17667777 23557036 35335554 53003331 70671108 106006662 212013324