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212030052 = 223131724703
BaseRepresentation
bin11001010001101…
…01001001100100
3112202222020112220
430220311021210
5413234430202
633012312340
75153140263
oct1450651144
9482866486
10212030052
11a975a353
125b0126b0
1334c09b90
14202345da
1513933abc
hexca35264

212030052 has 72 divisors (see below), whose sum is σ = 566098176. Its totient is φ = 61389312.

The previous prime is 212030041. The next prime is 212030053. The reversal of 212030052 is 250030212.

It is a super-2 number, since 2×2120300522 = 89913485902245408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212030053) 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, 42733 + ... + 47435.

Almost surely, 2212030052 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 212030052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283049088).

212030052 is an abundant number, since it is smaller than the sum of its proper divisors (354068124).

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

212030052 is a wasteful number, since it uses less digits than its factorization.

212030052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4757 (or 4738 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 212030052 is about 14561.2517319082. The cubic root of 212030052 is about 596.3013692892.

Adding to 212030052 its reverse (250030212), we get a palindrome (462060264).

The spelling of 212030052 in words is "two hundred twelve million, thirty thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 289 442 578 663 867 884 1156 1326 1734 2652 3468 3757 4703 7514 9406 11271 14109 15028 18812 22542 28218 45084 56436 61139 79951 122278 159902 183417 239853 244556 319804 366834 479706 733668 959412 1039363 1359167 2078726 2718334 3118089 4077501 4157452 5436668 6236178 8155002 12472356 16310004 17669171 35338342 53007513 70676684 106015026 212030052