Search a number
-
+
212214340 = 22513816209
BaseRepresentation
bin11001010011000…
…10001001000100
3112210022121100101
430221202021010
5413311324330
633020253444
75154535462
oct1451421104
9483277311
10212214340
11a9875858
125b0a1284
1334c72a20
1420281832
151396d4ca
hexca62244

212214340 has 24 divisors (see below), whose sum is σ = 479931480. Its totient is φ = 78355968.

The previous prime is 212214337. The next prime is 212214341. The reversal of 212214340 is 43412212.

It can be written as a sum of positive squares in 4 ways, for example, as 2775556 + 209438784 = 1666^2 + 14472^2 .

It is a super-2 number, since 2×2122143402 = 90069852203271200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212214341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 407845 + ... + 408364.

It is an arithmetic number, because the mean of its divisors is an integer number (19997145).

Almost surely, 2212214340 is an apocalyptic number.

212214340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212214340 is an abundant number, since it is smaller than the sum of its proper divisors (267717140).

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

212214340 is a wasteful number, since it uses less digits than its factorization.

212214340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816231 (or 816229 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 212214340 is about 14567.5783848929. The cubic root of 212214340 is about 596.4740796564.

Adding to 212214340 its reverse (43412212), we get a palindrome (255626552).

The spelling of 212214340 in words is "two hundred twelve million, two hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 816209 1632418 3264836 4081045 8162090 10610717 16324180 21221434 42442868 53053585 106107170 212214340