Search a number
-
+
212520924 = 223271176667
BaseRepresentation
bin11001010101011…
…00111111011100
3112210220011220100
430222230333130
5413401132144
633031021100
75160253350
oct1452547734
9483804810
10212520924
11a9a65130
125b20a790
133504c435
1420321460
15139ce269
hexcaacfdc

212520924 has 72 divisors (see below), whose sum is σ = 669771648. Its totient is φ = 55199520.

The previous prime is 212520883. The next prime is 212520949. The reversal of 212520924 is 429025212.

It is a happy number.

212520924 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35562 + ... + 41105.

It is an arithmetic number, because the mean of its divisors is an integer number (9302384).

Almost surely, 2212520924 is an apocalyptic number.

It is an amenable number.

212520924 is an abundant number, since it is smaller than the sum of its proper divisors (457250724).

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

212520924 is a wasteful number, since it uses less digits than its factorization.

212520924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76695 (or 76690 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 212520924 is about 14578.0974067263. The cubic root of 212520924 is about 596.7611815501.

It can be divided in two parts, 212520 and 924, that added together give a square (213444 = 4622).

The spelling of 212520924 in words is "two hundred twelve million, five hundred twenty thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 76667 153334 230001 306668 460002 536669 690003 843337 920004 1073338 1380006 1610007 1686674 2146676 2530011 2760012 3220014 3373348 4830021 5060022 5903359 6440028 7590033 9660042 10120044 11806718 15180066 17710077 19320084 23613436 30360132 35420154 53130231 70840308 106260462 212520924