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212025261 = 3731332257
BaseRepresentation
bin11001010001100…
…11111110101101
3112202221222222110
430220303332231
5413234302021
633012234233
75153120310
oct1450637655
9482858873
10212025261
11a9756798
125b00b979
1334c07946
1420232977
1513932476
hexca33fad

212025261 has 16 divisors (see below), whose sum is σ = 324128384. Its totient is φ = 120766464.

The previous prime is 212025259. The next prime is 212025269. The reversal of 212025261 is 162520212.

It is a happy number.

It is not a de Polignac number, because 212025261 - 21 = 212025259 is a prime.

It is a super-3 number, since 3×2120252613 (a number of 26 digits) contains 333 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 (21).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212025269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9556 + ... + 22701.

It is an arithmetic number, because the mean of its divisors is an integer number (20258024).

Almost surely, 2212025261 is an apocalyptic number.

212025261 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212025261 is a deficient number, since it is larger than the sum of its proper divisors (112103123).

212025261 is a wasteful number, since it uses less digits than its factorization.

212025261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32580.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 212025261 is about 14561.0872190232. The cubic root of 212025261 is about 596.2968779426.

Adding to 212025261 its reverse (162520212), we get a palindrome (374545473).

The spelling of 212025261 in words is "two hundred twelve million, twenty-five thousand, two hundred sixty-one".

Divisors: 1 3 7 21 313 939 2191 6573 32257 96771 225799 677397 10096441 30289323 70675087 212025261