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212386461 = 3719152951
BaseRepresentation
bin11001010100011…
…00001010011101
3112210122100110020
430222030022131
5413332331321
633024102353
75156153340
oct1452141235
9483570406
10212386461
11a9983101
125b1649b9
1335003181
14202c8457
15139a44c6
hexca8c29d

212386461 has 16 divisors (see below), whose sum is σ = 325337088. Its totient is φ = 120726000.

The previous prime is 212386453. The next prime is 212386597. The reversal of 212386461 is 164683212.

It is not a de Polignac number, because 212386461 - 23 = 212386453 is a prime.

It is a super-2 number, since 2×2123864612 = 90216017632209042, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212386441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22465 + ... + 30486.

It is an arithmetic number, because the mean of its divisors is an integer number (20333568).

Almost surely, 2212386461 is an apocalyptic number.

212386461 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212386461 is a deficient number, since it is larger than the sum of its proper divisors (112950627).

212386461 is a wasteful number, since it uses less digits than its factorization.

212386461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53152.

The product of its digits is 13824, while the sum is 33.

The square root of 212386461 is about 14573.4848612128. The cubic root of 212386461 is about 596.6352971173.

The spelling of 212386461 in words is "two hundred twelve million, three hundred eighty-six thousand, four hundred sixty-one".

Divisors: 1 3 7 21 191 573 1337 4011 52951 158853 370657 1111971 10113641 30340923 70795487 212386461