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212213310 = 23511236299
BaseRepresentation
bin11001010011000…
…01111000111110
3112210022112221020
430221201320332
5413311311220
633020245010
75154532461
oct1451417076
9483275836
10212213310
11a9875001
125b0a0766
1334c7240a
14202812d8
151396d040
hexca61e3e

212213310 has 32 divisors (see below), whose sum is σ = 509846400. Its totient is φ = 56530848.

The previous prime is 212213303. The next prime is 212213311. The reversal of 212213310 is 13312212.

It is a super-4 number, since 4×2122133104 (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 212213310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212213311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30541 + ... + 36839.

It is an arithmetic number, because the mean of its divisors is an integer number (15932700).

Almost surely, 2212213310 is an apocalyptic number.

212213310 is an abundant number, since it is smaller than the sum of its proper divisors (297633090).

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

212213310 is a wasteful number, since it uses less digits than its factorization.

212213310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7432.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 212213310 is about 14567.5430323717. The cubic root of 212213310 is about 596.4731146427.

Adding to 212213310 its reverse (13312212), we get a palindrome (225525522).

It can be divided in two parts, 21221 and 3310, that added together give a triangular number (24531 = T221).

The spelling of 212213310 in words is "two hundred twelve million, two hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 1123 2246 3369 5615 6299 6738 11230 12598 16845 18897 31495 33690 37794 62990 94485 188970 7073777 14147554 21221331 35368885 42442662 70737770 106106655 212213310