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212483424 = 2533171399
BaseRepresentation
bin11001010101000…
…11110101100000
3112210211021110110
430222203311200
5413343432144
633030131320
75160036126
oct1452436540
9483737413
10212483424
11a9a39a3a
125b1b0b40
133503834a
1420311916
15139c30b9
hexcaa3d60

212483424 has 48 divisors (see below), whose sum is σ = 575769600. Its totient is φ = 68542080.

The previous prime is 212483419. The next prime is 212483429. The reversal of 212483424 is 424384212.

It is an interprime number because it is at equal distance from previous prime (212483419) and next prime (212483429).

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 212483391 and 212483400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212483429) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 32724 + ... + 38675.

It is an arithmetic number, because the mean of its divisors is an integer number (11995200).

Almost surely, 2212483424 is an apocalyptic number.

212483424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212483424 is an abundant number, since it is smaller than the sum of its proper divisors (363286176).

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

212483424 is a wasteful number, since it uses less digits than its factorization.

212483424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71443 (or 71435 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 212483424 is about 14576.8111739159. The cubic root of 212483424 is about 596.7260793426.

It can be divided in two parts, 212 and 483424, that added together give a triangular number (483636 = T983).

The spelling of 212483424 in words is "two hundred twelve million, four hundred eighty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 71399 142798 214197 285596 428394 571192 856788 1142384 1713576 2213369 2284768 3427152 4426738 6640107 6854304 8853476 13280214 17706952 26560428 35413904 53120856 70827808 106241712 212483424