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212042241 = 32175379331
BaseRepresentation
bin11001010001110…
…00001000000001
3112202222212021100
430220320020001
5413240322431
633012445013
75153220645
oct1450701001
9482885240
10212042241
11a9768524
125b019769
1334c125a8
1420238c25
15139374e6
hexca38201

212042241 has 48 divisors (see below), whose sum is σ = 335612160. Its totient is φ = 128494080.

The previous prime is 212042231. The next prime is 212042249. The reversal of 212042241 is 142240212.

It is not a de Polignac number, because 212042241 - 218 = 211780097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212042249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 640446 + ... + 640776.

It is an arithmetic number, because the mean of its divisors is an integer number (6991920).

Almost surely, 2212042241 is an apocalyptic number.

It is an amenable number.

212042241 is a deficient number, since it is larger than the sum of its proper divisors (123569919).

212042241 is a wasteful number, since it uses less digits than its factorization.

212042241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 212042241 is about 14561.6702682076. The cubic root of 212042241 is about 596.3127956225.

Adding to 212042241 its reverse (142240212), we get a palindrome (354282453).

The spelling of 212042241 in words is "two hundred twelve million, forty-two thousand, two hundred forty-one".

Divisors: 1 3 9 17 51 53 79 153 159 237 331 477 711 901 993 1343 2703 2979 4029 4187 5627 8109 12087 12561 16881 17543 26149 37683 50643 52629 71179 78447 157887 213537 235341 298231 444533 640611 894693 1333599 1385897 2684079 4000797 4157691 12473073 23560249 70680747 212042241