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211232320 = 2651350777
BaseRepresentation
bin11001001011100…
…10011001000000
3112201110201021021
430211302121000
5413033413240
632543235224
75143305445
oct1445623100
9481421237
10211232320
11a9264a72
125a8a8b14
13349baa50
14200a79cc
151382754a
hexc972640

211232320 has 56 divisors (see below), whose sum is σ = 541699704. Its totient is φ = 77991936.

The previous prime is 211232279. The next prime is 211232321. The reversal of 211232320 is 23232112.

It can be written as a sum of positive squares in 4 ways, for example, as 21233664 + 189998656 = 4608^2 + 13784^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 211232294 and 211232303.

It is not an unprimeable number, because it can be changed into a prime (211232321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21229 + ... + 29548.

It is an arithmetic number, because the mean of its divisors is an integer number (9673209).

Almost surely, 2211232320 is an apocalyptic number.

211232320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211232320 is an abundant number, since it is smaller than the sum of its proper divisors (330467384).

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

211232320 is a wasteful number, since it uses less digits than its factorization.

211232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50807 (or 50797 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 211232320 is about 14533.8336305326. The cubic root of 211232320 is about 595.5525972808.

Adding to 211232320 its reverse (23232112), we get a palindrome (234464432).

The spelling of 211232320 in words is "two hundred eleven million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 50777 101554 203108 253885 406216 507770 660101 812432 1015540 1320202 1624864 2031080 2640404 3249728 3300505 4062160 5280808 6601010 8124320 10561616 13202020 16248640 21123232 26404040 42246464 52808080 105616160 211232320