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211320192 = 2731733181
BaseRepresentation
bin11001001100001…
…11110110000000
3112201122011210210
430212013312000
5413044221232
632545154120
75144122566
oct1446076600
9481564723
10211320192
11a9314a96
125a92b940
1334a1ba45
14200cba36
15138435cc
hexc987d80

211320192 has 64 divisors (see below), whose sum is σ = 564741360. Its totient is φ = 70010880.

The previous prime is 211320173. The next prime is 211320199. The reversal of 211320192 is 291023112.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211320199) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64842 + ... + 68022.

Almost surely, 2211320192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211320192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282370680).

211320192 is an abundant number, since it is smaller than the sum of its proper divisors (353421168).

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

211320192 is a wasteful number, since it uses less digits than its factorization.

211320192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3371 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 211320192 is about 14536.8563314081. The cubic root of 211320192 is about 595.6351685192.

The spelling of 211320192 in words is "two hundred eleven million, three hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 173 192 346 384 519 692 1038 1384 2076 2768 3181 4152 5536 6362 8304 9543 11072 12724 16608 19086 22144 25448 33216 38172 50896 66432 76344 101792 152688 203584 305376 407168 550313 610752 1100626 1221504 1650939 2201252 3301878 4402504 6603756 8805008 13207512 17610016 26415024 35220032 52830048 70440064 105660096 211320192