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2214926208 = 27341119421
BaseRepresentation
bin1000010000000101…
…0001011110000000
312201100202220120000
42010001101132000
514014010114313
61003441320000
7105613363545
oct20401213600
95640686500
102214926208
11a372a4930
12519936000
13293b59531
14170244bcc
15ce6b9673
hex84051780

2214926208 has 160 divisors (see below), whose sum is σ = 7191189720. Its totient is φ = 671155200.

The previous prime is 2214926201. The next prime is 2214926237. The reversal of 2214926208 is 8026294122.

2214926208 is a `hidden beast` number, since 2 + 21 + 4 + 9 + 2 + 620 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214926201) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 104338 + ... + 123758.

Almost surely, 22214926208 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 2214926208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3595594860).

2214926208 is an abundant number, since it is smaller than the sum of its proper divisors (4976263512).

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

2214926208 is a wasteful number, since it uses less digits than its factorization.

2214926208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19458 (or 19437 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2214926208 is about 47063.0025391496. The cubic root of 2214926208 is about 1303.5261680665.

The spelling of 2214926208 in words is "two billion, two hundred fourteen million, nine hundred twenty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 128 132 144 162 176 192 198 216 264 288 297 324 352 384 396 432 528 576 594 648 704 792 864 891 1056 1152 1188 1296 1408 1584 1728 1782 2112 2376 2592 3168 3456 3564 4224 4752 5184 6336 7128 9504 10368 12672 14256 19008 19421 28512 38016 38842 57024 58263 77684 114048 116526 155368 174789 213631 233052 310736 349578 427262 466104 524367 621472 640893 699156 854524 932208 1048734 1242944 1281786 1398312 1573101 1709048 1864416 1922679 2097468 2485888 2563572 2796624 3146202 3418096 3728832 3845358 4194936 5127144 5593248 5768037 6292404 6836192 7457664 7690716 8389872 10254288 11186496 11536074 12584808 13672384 15381432 16779744 17304111 20508576 22372992 23072148 25169616 27344768 30762864 33559488 34608222 41017152 46144296 50339232 61525728 67118976 69216444 82034304 92288592 100678464 123051456 138432888 184577184 201356928 246102912 276865776 369154368 553731552 738308736 1107463104 2214926208