Search a number
-
+
211213310 = 257111914437
BaseRepresentation
bin11001001011011…
…01101111111110
3112201102202012012
430211231233332
5413032311220
632543011222
75143166150
oct1445555776
9481382165
10211213310
11a9251760
125a899b12
13349b21b9
14200a0ad0
1513821ac5
hexc96dbfe

211213310 has 64 divisors (see below), whose sum is σ = 498977280. Its totient is φ = 62363520.

The previous prime is 211213297. The next prime is 211213313. The reversal of 211213310 is 13312112.

It is a super-2 number, since 2×2112133102 = 89222124642312200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211213313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7412 + ... + 21848.

It is an arithmetic number, because the mean of its divisors is an integer number (7796520).

Almost surely, 2211213310 is an apocalyptic number.

211213310 is an abundant number, since it is smaller than the sum of its proper divisors (287763970).

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

211213310 is a wasteful number, since it uses less digits than its factorization.

211213310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14481.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 211213310 is about 14533.1796245694. The cubic root of 211213310 is about 595.5347310210.

Adding to 211213310 its reverse (13312112), we get a palindrome (224525422).

The spelling of 211213310 in words is "two hundred eleven million, two hundred thirteen thousand, three hundred ten".

Divisors: 1 2 5 7 10 11 14 19 22 35 38 55 70 77 95 110 133 154 190 209 266 385 418 665 770 1045 1330 1463 2090 2926 7315 14437 14630 28874 72185 101059 144370 158807 202118 274303 317614 505295 548606 794035 1010590 1111649 1371515 1588070 1920121 2223298 2743030 3017333 3840242 5558245 6034666 9600605 11116490 15086665 19201210 21121331 30173330 42242662 105606655 211213310