Search a number
-
+
212037312 = 2635367311
BaseRepresentation
bin11001010001101…
…10111011000000
3112202222121111210
430220312323000
5413240143222
633012410120
75153200404
oct1450667300
9482877453
10212037312
11a9764853
125b016940
1334c10286
1420237104
1513935d0c
hexca36ec0

212037312 has 112 divisors (see below), whose sum is σ = 581997312. Its totient is φ = 68090880.

The previous prime is 212037271. The next prime is 212037323. The reversal of 212037312 is 213730212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 681637 + ... + 681947.

Almost surely, 2212037312 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 212037312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290998656).

212037312 is an abundant number, since it is smaller than the sum of its proper divisors (369960000).

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

212037312 is a wasteful number, since it uses less digits than its factorization.

212037312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 212037312 is about 14561.5010215293. The cubic root of 212037312 is about 596.3081750831.

Adding to 212037312 its reverse (213730212), we get a palindrome (425767524).

The spelling of 212037312 in words is "two hundred twelve million, thirty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 67 96 106 134 159 192 201 212 268 311 318 402 424 536 622 636 804 848 933 1072 1244 1272 1608 1696 1866 2144 2488 2544 3216 3392 3551 3732 4288 4976 5088 6432 7102 7464 9952 10176 10653 12864 14204 14928 16483 19904 20837 21306 28408 29856 32966 41674 42612 49449 56816 59712 62511 65932 83348 85224 98898 113632 125022 131864 166696 170448 197796 227264 250044 263728 333392 340896 395592 500088 527456 666784 681792 791184 1000176 1054912 1104361 1333568 1582368 2000352 2208722 3164736 3313083 4000704 4417444 6626166 8834888 13252332 17669776 26504664 35339552 53009328 70679104 106018656 212037312