Search a number
-
+
212014144 = 263789533
BaseRepresentation
bin11001010001100…
…01010001000000
3112202221102201201
430220301101000
5413233423034
633012110544
75153043016
oct1450612100
9482842651
10212014144
11a9749401
125b005454
1334c02874
142022c8b6
151392e014
hexca31440

212014144 has 28 divisors (see below), whose sum is σ = 432091084. Its totient is φ = 103140864.

The previous prime is 212014111. The next prime is 212014147. The reversal of 212014144 is 441410212.

It can be written as a sum of positive squares in 2 ways, for example, as 198471744 + 13542400 = 14088^2 + 3680^2 .

It is not an unprimeable number, because it can be changed into a prime (212014147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42399 + ... + 47134.

Almost surely, 2212014144 is an apocalyptic number.

It is an amenable number.

212014144 is an abundant number, since it is smaller than the sum of its proper divisors (220076940).

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

212014144 is an equidigital number, since it uses as much as digits as its factorization.

212014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89582 (or 89572 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 212014144 is about 14560.7054774142. The cubic root of 212014144 is about 596.2864559953.

Adding to 212014144 its reverse (441410212), we get a palindrome (653424356).

The spelling of 212014144 in words is "two hundred twelve million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1184 2368 89533 179066 358132 716264 1432528 2865056 3312721 5730112 6625442 13250884 26501768 53003536 106007072 212014144