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212033052 = 22357112833
BaseRepresentation
bin11001010001101…
…01111000011100
3112202222101200000
430220311320130
5413240024202
633012334300
75153152110
oct1450657034
9482871600
10212033052
11a9761630
125b014390
1334c0b35a
1420235740
151393491c
hexca35e1c

212033052 has 144 divisors (see below), whose sum is σ = 693219072. Its totient is φ = 55054080.

The previous prime is 212033039. The next prime is 212033057. The reversal of 212033052 is 250330212.

212033052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212033057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73428 + ... + 76260.

Almost surely, 2212033052 is an apocalyptic number.

212033052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212033052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346609536).

212033052 is an abundant number, since it is smaller than the sum of its proper divisors (481186020).

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

212033052 is a wasteful number, since it uses less digits than its factorization.

212033052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 212033052 is about 14561.3547446658. The cubic root of 212033052 is about 596.3041816196.

Adding to 212033052 its reverse (250330212), we get a palindrome (462363264).

The spelling of 212033052 in words is "two hundred twelve million, thirty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 81 84 99 108 126 132 154 162 189 198 231 243 252 297 308 324 378 396 462 486 567 594 693 756 891 924 972 1134 1188 1386 1701 1782 2079 2268 2673 2772 2833 3402 3564 4158 5346 5666 6237 6804 8316 8499 10692 11332 12474 16998 18711 19831 24948 25497 31163 33996 37422 39662 50994 59493 62326 74844 76491 79324 93489 101988 118986 124652 152982 178479 186978 218141 229473 237972 280467 305964 356958 373956 436282 458946 535437 560934 654423 688419 713916 841401 872564 917892 1070874 1121868 1308846 1376838 1606311 1682802 1963269 2141748 2524203 2617692 2753676 3212622 3365604 3926538 4818933 5048406 5889807 6425244 7572609 7853076 9637866 10096812 11779614 15145218 17669421 19275732 23559228 30290436 35338842 53008263 70677684 106016526 212033052