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212423040 = 2733519647
BaseRepresentation
bin11001010100101…
…01000110000000
3112210201012122000
430222111012000
5413340014130
633024544000
75156365104
oct1452250600
9483635560
10212423040
11a99a8635
125b182000
1335016a0b
14202d7904
15139b0260
hexca95180

212423040 has 256 divisors, whose sum is σ = 793152000. Its totient is φ = 53581824.

The previous prime is 212423027. The next prime is 212423047. The reversal of 212423040 is 40324212.

212423040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212423047) 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, 327997 + ... + 328643.

It is an arithmetic number, because the mean of its divisors is an integer number (3098250).

Almost surely, 2212423040 is an apocalyptic number.

212423040 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 212423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396576000).

212423040 is an abundant number, since it is smaller than the sum of its proper divisors (580728960).

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

212423040 is a wasteful number, since it uses less digits than its factorization.

212423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 212423040 is about 14574.7397918453. The cubic root of 212423040 is about 596.6695476837.

Adding to 212423040 its reverse (40324212), we get a palindrome (252747252).

The spelling of 212423040 in words is "two hundred twelve million, four hundred twenty-three thousand, forty".