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212411664 = 24328871663
BaseRepresentation
bin11001010100100…
…10010100010000
3112210200122000200
430222102110100
5413334133124
633024415200
75156316663
oct1452222420
9483618020
10212411664
11a99a0033
125b177500
133501179a
14202d36da
15139abbc9
hexca92510

212411664 has 60 divisors (see below), whose sum is σ = 595485696. Its totient is φ = 70681536.

The previous prime is 212411663. The next prime is 212411669. The reversal of 212411664 is 466114212.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (212411663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126897 + ... + 128559.

Almost surely, 2212411664 is an apocalyptic number.

212411664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212411664 is an abundant number, since it is smaller than the sum of its proper divisors (383074032).

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

212411664 is a wasteful number, since it uses less digits than its factorization.

212411664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564 (or 2555 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 212411664 is about 14574.3495223629. The cubic root of 212411664 is about 596.6588962434.

Adding to 212411664 its reverse (466114212), we get a palindrome (678525876).

The spelling of 212411664 in words is "two hundred twelve million, four hundred eleven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 887 1663 1774 2661 3326 3548 4989 5322 6652 7096 7983 9978 10644 13304 14192 14967 15966 19956 21288 26608 29934 31932 39912 42576 59868 63864 79824 119736 127728 239472 1475081 2950162 4425243 5900324 8850486 11800648 13275729 17700972 23601296 26551458 35401944 53102916 70803888 106205832 212411664