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212214431 = 11132973701
BaseRepresentation
bin11001010011000…
…10001010011111
3112210022121110202
430221202022133
5413311330211
633020254115
75154535652
oct1451421237
9483277422
10212214431
11a9875930
125b0a133b
1334c72a90
1420281899
151396d53b
hexca6229f

212214431 has 32 divisors (see below), whose sum is σ = 261817920. Its totient is φ = 169344000.

The previous prime is 212214407. The next prime is 212214449. The reversal of 212214431 is 134412212.

212214431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 212214431 - 226 = 145105567 is a prime.

It is a super-2 number, since 2×2122144312 = 90069929449307522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212214481) 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, 302381 + ... + 303081.

It is an arithmetic number, because the mean of its divisors is an integer number (8181810).

Almost surely, 2212214431 is an apocalyptic number.

212214431 is a deficient number, since it is larger than the sum of its proper divisors (49603489).

212214431 is a wasteful number, since it uses less digits than its factorization.

212214431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827.

The product of its digits is 384, while the sum is 20.

The square root of 212214431 is about 14567.5815082669. The cubic root of 212214431 is about 596.4741649148.

Adding to 212214431 its reverse (134412212), we get a palindrome (346626643).

It can be divided in two parts, 21221 and 4431, that added together give a palindrome (25652).

The spelling of 212214431 in words is "two hundred twelve million, two hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 11 13 29 73 143 319 377 701 803 949 2117 4147 7711 9113 10439 20329 23287 27521 51173 100243 223619 264277 302731 562903 665249 1484017 2907047 7317739 16324187 19292221 212214431