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212402240 = 2652328859
BaseRepresentation
bin11001010100100…
…00000001000000
3112210200011002122
430222100001000
5413333332430
633024303412
75156250341
oct1452200100
9483604078
10212402240
11a9993a46
125b171b68
133500a3cb
14202d00c8
15139a8ee5
hexca90040

212402240 has 56 divisors (see below), whose sum is σ = 527791680. Its totient is φ = 81264128.

The previous prime is 212402231. The next prime is 212402249. The reversal of 212402240 is 42204212.

It is a happy number.

212402240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212402231) and next prime (212402249).

It is a super-2 number, since 2×2124022402 = 90229423114035200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212402249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7070 + ... + 21789.

Almost surely, 2212402240 is an apocalyptic number.

212402240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212402240 is an abundant number, since it is smaller than the sum of its proper divisors (315389440).

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

212402240 is a wasteful number, since it uses less digits than its factorization.

212402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28899 (or 28889 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 212402240 is about 14574.0262110372. The cubic root of 212402240 is about 596.6500721885.

Adding to 212402240 its reverse (42204212), we get a palindrome (254606452).

The spelling of 212402240 in words is "two hundred twelve million, four hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 3680 7360 28859 57718 115436 144295 230872 288590 461744 577180 663757 923488 1154360 1327514 1846976 2308720 2655028 3318785 4617440 5310056 6637570 9234880 10620112 13275140 21240224 26550280 42480448 53100560 106201120 212402240