Search a number
-
+
212000310 = 23252355559
BaseRepresentation
bin11001010001011…
…01111000110110
3112202220201202100
430220231320312
5413233002220
633011522530
75152654464
oct1450557066
9482821670
10212000310
11a9739a75
125abb9446
1334bc9492
1420227834
1513929d90
hexca2de36

212000310 has 24 divisors (see below), whose sum is σ = 551201040. Its totient is φ = 56533392.

The previous prime is 212000293. The next prime is 212000311. The reversal of 212000310 is 13000212.

It is a happy number.

It is a super-2 number, since 2×2120003102 = 89888262880192200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 212000292 and 212000301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212000311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1177690 + ... + 1177869.

It is an arithmetic number, because the mean of its divisors is an integer number (22966710).

Almost surely, 2212000310 is an apocalyptic number.

212000310 is an abundant number, since it is smaller than the sum of its proper divisors (339200730).

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

212000310 is a wasteful number, since it uses less digits than its factorization.

212000310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355572 (or 2355569 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 212000310 is about 14560.2304240009. The cubic root of 212000310 is about 596.2734864105.

Adding to 212000310 its reverse (13000212), we get a palindrome (225000522).

The spelling of 212000310 in words is "two hundred twelve million, three hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2355559 4711118 7066677 11777795 14133354 21200031 23555590 35333385 42400062 70666770 106000155 212000310