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212235036 = 223135923059
BaseRepresentation
bin11001010011001…
…11001100011100
3112210100122201220
430221213030130
5413313010121
633020533340
75154653016
oct1451471434
9483318656
10212235036
11a988a362
125b0b1250
1334c7c280
14202891b6
15139746c6
hexca6731c

212235036 has 48 divisors (see below), whose sum is σ = 542371200. Its totient is φ = 64193472.

The previous prime is 212235031. The next prime is 212235041. The reversal of 212235036 is 630532212.

212235036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212235031) and next prime (212235041).

It is a junction number, because it is equal to n+sod(n) for n = 212234997 and 212235015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212235031) 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, 2326 + ... + 20733.

It is an arithmetic number, because the mean of its divisors is an integer number (11299400).

Almost surely, 2212235036 is an apocalyptic number.

212235036 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212235036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271185600).

212235036 is an abundant number, since it is smaller than the sum of its proper divisors (330136164).

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

212235036 is a wasteful number, since it uses less digits than its factorization.

212235036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23138 (or 23136 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 212235036 is about 14568.2887121309. The cubic root of 212235036 is about 596.4934692137.

Adding to 212235036 its reverse (630532212), we get a palindrome (842767248).

The spelling of 212235036 in words is "two hundred twelve million, two hundred thirty-five thousand, thirty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 59 78 118 156 177 236 354 708 767 1534 2301 3068 4602 9204 23059 46118 69177 92236 138354 276708 299767 599534 899301 1199068 1360481 1798602 2720962 3597204 4081443 5441924 8162886 16325772 17686253 35372506 53058759 70745012 106117518 212235036