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2217089664 = 2733641519
BaseRepresentation
bin1000010000100110…
…0001101010000000
312201111211211021000
42010021201222000
514020033332124
61003555532000
7105640644156
oct20411415200
95644754230
102217089664
11a38542309
1251a5ba000
1329443619a
141706493d6
15ce9956c9
hex84261a80

2217089664 has 64 divisors (see below), whose sum is σ = 6543504000. Its totient is φ = 739028736.

The previous prime is 2217089659. The next prime is 2217089671. The reversal of 2217089664 is 4669807122.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317304 + ... + 324215.

It is an arithmetic number, because the mean of its divisors is an integer number (102242250).

Almost surely, 22217089664 is an apocalyptic number.

2217089664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2217089664 is an abundant number, since it is smaller than the sum of its proper divisors (4326414336).

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

2217089664 is an equidigital number, since it uses as much as digits as its factorization.

2217089664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641542 (or 641524 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2217089664 is about 47085.9816081177. The cubic root of 2217089664 is about 1303.9504416159.

The spelling of 2217089664 in words is "two billion, two hundred seventeen million, eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 641519 1283038 1924557 2566076 3849114 5132152 5773671 7698228 10264304 11547342 15396456 17321013 20528608 23094684 30792912 34642026 41057216 46189368 61585824 69284052 82114432 92378736 123171648 138568104 184757472 246343296 277136208 369514944 554272416 739029888 1108544832 2217089664