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211050664 = 231137531223
BaseRepresentation
bin11001001010001…
…10000010101000
3112201010111002021
430211012002220
5413012110124
632535314224
75141621026
oct1445060250
9481114067
10211050664
11a9150540
125a81b974
1334956166
142005b716
15137dd7e4
hexc9460a8

211050664 has 64 divisors (see below), whose sum is σ = 452096640. Its totient is φ = 91503360.

The previous prime is 211050659. The next prime is 211050673. The reversal of 211050664 is 466050112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171957 + ... + 173179.

It is an arithmetic number, because the mean of its divisors is an integer number (7064010).

Almost surely, 2211050664 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 211050664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226048320).

211050664 is an abundant number, since it is smaller than the sum of its proper divisors (241045976).

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

211050664 is a wasteful number, since it uses less digits than its factorization.

211050664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 211050664 is about 14527.5828684609. The cubic root of 211050664 is about 595.3818268071.

The spelling of 211050664 in words is "two hundred eleven million, fifty thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 22 37 44 53 74 88 106 148 212 296 407 424 583 814 1166 1223 1628 1961 2332 2446 3256 3922 4664 4892 7844 9784 13453 15688 21571 26906 43142 45251 53812 64819 86284 90502 107624 129638 172568 181004 259276 362008 497761 518552 713009 995522 1426018 1991044 2398303 2852036 3982088 4796606 5704072 9593212 19186424 26381333 52762666 105525332 211050664