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212244340 = 225711283487
BaseRepresentation
bin11001010011010…
…01011101110100
3112210101010111111
430221221131310
5413313304330
633021044404
75155022110
oct1451513564
9483333444
10212244340
11a9896350
125b0b6704
1334c83589
142028c740
151397732a
hexca69774

212244340 has 96 divisors (see below), whose sum is σ = 558802944. Its totient is φ = 65784960.

The previous prime is 212244317. The next prime is 212244341. The reversal of 212244340 is 43442212.

It is a happy number.

It is a super-3 number, since 3×2122443403 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212244341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435577 + ... + 436063.

It is an arithmetic number, because the mean of its divisors is an integer number (5820864).

Almost surely, 2212244340 is an apocalyptic number.

212244340 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 212244340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279401472).

212244340 is an abundant number, since it is smaller than the sum of its proper divisors (346558604).

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

212244340 is a wasteful number, since it uses less digits than its factorization.

212244340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 212244340 is about 14568.6080323413. The cubic root of 212244340 is about 596.5021854845.

Adding to 212244340 its reverse (43442212), we get a palindrome (255686552).

The spelling of 212244340 in words is "two hundred twelve million, two hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 283 308 385 487 566 770 974 1132 1415 1540 1948 1981 2435 2830 3113 3409 3962 4870 5357 5660 6226 6818 7924 9740 9905 10714 12452 13636 15565 17045 19810 21428 21791 26785 31130 34090 37499 39620 43582 53570 62260 68180 74998 87164 107140 108955 137821 149996 187495 217910 275642 374990 435820 551284 689105 749980 964747 1378210 1516031 1929494 2756420 3032062 3858988 4823735 6064124 7580155 9647470 10612217 15160310 19294940 21224434 30320620 42448868 53061085 106122170 212244340