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211264064 = 2611227281
BaseRepresentation
bin11001001011110…
…10001001000000
3112201112022210222
430211322021000
5413040422224
632544042212
75143500134
oct1445721100
9481468728
10211264064
11a9286900
125a903368
13349cc32b
14200b53c4
1513831b5e
hexc97a240

211264064 has 42 divisors (see below), whose sum is σ = 460820262. Its totient is φ = 96025600.

The previous prime is 211264063. The next prime is 211264069. The reversal of 211264064 is 460462112.

It can be written as a sum of positive squares in only one way, i.e., 198246400 + 13017664 = 14080^2 + 3608^2 .

It is not an unprimeable number, because it can be changed into a prime (211264063) 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 5 ways as a sum of consecutive naturals, for example, 5897 + ... + 21384.

It is an arithmetic number, because the mean of its divisors is an integer number (10971911).

Almost surely, 2211264064 is an apocalyptic number.

It is an amenable number.

211264064 is an abundant number, since it is smaller than the sum of its proper divisors (249556198).

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

211264064 is a wasteful number, since it uses less digits than its factorization.

211264064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27315 (or 27294 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 211264064 is about 14534.9256620046. The cubic root of 211264064 is about 595.5824290077.

The spelling of 211264064 in words is "two hundred eleven million, two hundred sixty-four thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 27281 54562 109124 218248 300091 436496 600182 872992 1200364 1745984 2400728 3301001 4801456 6602002 9602912 13204004 19205824 26408008 52816016 105632032 211264064