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212531436 = 2232131034409
BaseRepresentation
bin11001010101011…
…11100011101100
3112210220201022200
430222233203230
5413402001221
633031141500
75160326115
oct1452574354
9483821280
10212531436
11a9a72017
125b214890
1335054160
142032520c
15139d2426
hexcaaf8ec

212531436 has 72 divisors (see below), whose sum is σ = 584307360. Its totient is φ = 64744704.

The previous prime is 212531383. The next prime is 212531447. The reversal of 212531436 is 634135212.

It is a super-2 number, since 2×2125314362 = 90339222576444192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46000 + ... + 50408.

It is an arithmetic number, because the mean of its divisors is an integer number (8115380).

Almost surely, 2212531436 is an apocalyptic number.

212531436 is a gapful number since it is divisible by the number (26) 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 212531436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292153680).

212531436 is an abundant number, since it is smaller than the sum of its proper divisors (371775924).

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

212531436 is a wasteful number, since it uses less digits than its factorization.

212531436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4535 (or 4530 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 212531436 is about 14578.4579431434. The cubic root of 212531436 is about 596.7710206599.

Adding to 212531436 its reverse (634135212), we get a palindrome (846666648).

The spelling of 212531436 in words is "two hundred twelve million, five hundred thirty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 103 117 156 206 234 309 412 468 618 927 1236 1339 1854 2678 3708 4017 4409 5356 8034 8818 12051 13227 16068 17636 24102 26454 39681 48204 52908 57317 79362 114634 158724 171951 229268 343902 454127 515853 687804 908254 1031706 1362381 1816508 2063412 2724762 4087143 5449524 5903651 8174286 11807302 16348572 17710953 23614604 35421906 53132859 70843812 106265718 212531436