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212432340 = 223517212251
BaseRepresentation
bin11001010100101…
…11010111010100
3112210201200101110
430222113113110
5413340313330
633025055020
75156434161
oct1452272724
9483650343
10212432340
11a9a0461a
125b187470
133501b013
14202db068
15139b2db0
hexca975d4

212432340 has 72 divisors (see below), whose sum is σ = 631909152. Its totient is φ = 53312000.

The previous prime is 212432333. The next prime is 212432377. The reversal of 212432340 is 43234212.

It is a congruent number.

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, 11215 + ... + 23465.

It is an arithmetic number, because the mean of its divisors is an integer number (8776516).

Almost surely, 2212432340 is an apocalyptic number.

212432340 is a gapful number since it is divisible by the number (20) 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 212432340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315954576).

212432340 is an abundant number, since it is smaller than the sum of its proper divisors (419476812).

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

212432340 is a wasteful number, since it uses less digits than its factorization.

212432340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12297 (or 12278 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 212432340 is about 14575.0588335005. The cubic root of 212432340 is about 596.6782550659.

Adding to 212432340 its reverse (43234212), we get a palindrome (255666552).

The spelling of 212432340 in words is "two hundred twelve million, four hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 289 340 510 578 867 1020 1156 1445 1734 2890 3468 4335 5780 8670 12251 17340 24502 36753 49004 61255 73506 122510 147012 183765 208267 245020 367530 416534 624801 735060 833068 1041335 1249602 2082670 2499204 3124005 3540539 4165340 6248010 7081078 10621617 12496020 14162156 17702695 21243234 35405390 42486468 53108085 70810780 106216170 212432340