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212503014 = 235597411
BaseRepresentation
bin11001010101010…
…00100111100110
3112210212021100000
430222220213212
5413400044024
633030402130
75160150213
oct1452504746
9483767300
10212503014
11a9a52729
125b200346
1335044239
1420318b0a
15139c8cc9
hexcaa89e6

212503014 has 48 divisors (see below), whose sum is σ = 485634240. Its totient is φ = 69624360.

The previous prime is 212503013. The next prime is 212503019. The reversal of 212503014 is 410305212.

212503014 is digitally balanced in base 2, 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 an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212503013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24969 + ... + 32379.

It is an arithmetic number, because the mean of its divisors is an integer number (10117380).

Almost surely, 2212503014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212503014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242817120).

212503014 is an abundant number, since it is smaller than the sum of its proper divisors (273131226).

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

212503014 is an equidigital number, since it uses as much as digits as its factorization.

212503014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7487 (or 7475 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 212503014 is about 14577.4831160938. The cubic root of 212503014 is about 596.7444172510.

Adding to 212503014 its reverse (410305212), we get a palindrome (622808226).

The spelling of 212503014 in words is "two hundred twelve million, five hundred three thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 59 81 118 162 177 243 354 486 531 1062 1593 3186 4779 7411 9558 14337 14822 22233 28674 44466 66699 133398 200097 400194 437249 600291 874498 1200582 1311747 1800873 2623494 3601746 3935241 7870482 11805723 23611446 35417169 70834338 106251507 212503014