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211420160 = 2105717347
BaseRepresentation
bin11001001101000…
…00010000000000
3112201211020221022
430212200100000
5413110421120
632551245012
75145020210
oct1446402000
9481736838
10211420160
11a9383106
125a979768
1334a553b3
1420116240
1513863025
hexc9a0400

211420160 has 176 divisors, whose sum is σ = 615475584. Its totient is φ = 68026368.

The previous prime is 211420151. The next prime is 211420171. The reversal of 211420160 is 61024112.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 609107 + ... + 609453.

Almost surely, 2211420160 is an apocalyptic number.

211420160 is a gapful number since it is divisible by the number (20) 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 211420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307737792).

211420160 is an abundant number, since it is smaller than the sum of its proper divisors (404055424).

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

211420160 is a wasteful number, since it uses less digits than its factorization.

211420160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 211420160 is about 14540.2943574056. The cubic root of 211420160 is about 595.7290782540.

Adding to 211420160 its reverse (61024112), we get a palindrome (272444272).

The spelling of 211420160 in words is "two hundred eleven million, four hundred twenty thousand, one hundred sixty".