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211384096 = 257113709
BaseRepresentation
bin11001001100101…
…11011100100000
3112201202102110121
430212113130200
5413103242341
632550410024
75144510110
oct1446273440
9481672417
10211384096
11a9359000
125a960914
1334a41b61
1420107040
15138574d1
hexc997720

211384096 has 96 divisors (see below), whose sum is σ = 523877760. Its totient is φ = 82241280.

The previous prime is 211384073. The next prime is 211384109. The reversal of 211384096 is 690483112.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297790 + ... + 298498.

It is an arithmetic number, because the mean of its divisors is an integer number (5457060).

Almost surely, 2211384096 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 211384096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261938880).

211384096 is an abundant number, since it is smaller than the sum of its proper divisors (312493664).

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

211384096 is an equidigital number, since it uses as much as digits as its factorization.

211384096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 211384096 is about 14539.0541645597. The cubic root of 211384096 is about 595.6952032202.

The spelling of 211384096 in words is "two hundred eleven million, three hundred eighty-four thousand, ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 154 176 224 242 308 352 484 616 709 847 968 1232 1331 1418 1694 1936 2464 2662 2836 3388 3872 4963 5324 5672 6776 7799 9317 9926 10648 11344 13552 15598 18634 19852 21296 22688 27104 31196 37268 39704 42592 54593 62392 74536 79408 85789 109186 124784 149072 158816 171578 218372 249568 298144 343156 436744 600523 686312 873488 943679 1201046 1372624 1746976 1887358 2402092 2745248 3774716 4804184 6605753 7549432 9608368 13211506 15098864 19216736 26423012 30197728 52846024 105692048 211384096