Search a number
-
+
212212320 = 2535442109
BaseRepresentation
bin11001010011000…
…01101001100000
3112210022111120120
430221201221200
5413311243240
633020240240
75154526545
oct1451415140
9483274516
10212212320
11a9874291
125b0a0080
1334c71b28
1420280bcc
151396cad0
hexca61a60

212212320 has 48 divisors (see below), whose sum is σ = 668470320. Its totient is φ = 56589824.

The previous prime is 212212313. The next prime is 212212331. The reversal of 212212320 is 23212212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212212320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220575 + ... + 221534.

It is an arithmetic number, because the mean of its divisors is an integer number (13926465).

Almost surely, 2212212320 is an apocalyptic number.

212212320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212212320 is an abundant number, since it is smaller than the sum of its proper divisors (456258000).

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

212212320 is a wasteful number, since it uses less digits than its factorization.

212212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442127 (or 442119 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 212212320 is about 14567.5090526830. The cubic root of 212212320 is about 596.4721871022.

Adding to 212212320 its reverse (23212212), we get a palindrome (235424532).

The spelling of 212212320 in words is "two hundred twelve million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 442109 884218 1326327 1768436 2210545 2652654 3536872 4421090 5305308 6631635 7073744 8842180 10610616 13263270 14147488 17684360 21221232 26526540 35368720 42442464 53053080 70737440 106106160 212212320