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2219378688 = 211323472
BaseRepresentation
bin1000010001001001…
…0000100000000000
312201200011010012200
42010102100200000
514021130104223
61004120553200
7105666256542
oct20422204000
95650133180
102219378688
11a3986606a
1251b322800
13294a58037
14170a83692
15cec98a43
hex84490800

2219378688 has 108 divisors (see below), whose sum is σ = 6428498895. Its totient is φ = 737660928.

The previous prime is 2219378683. The next prime is 2219378779. The reversal of 2219378688 is 8868739122.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1109689344 + 1109689344 = 33312^2 + 33312^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33312.

It is not an unprimeable number, because it can be changed into a prime (2219378683) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6395731 + ... + 6396077.

Almost surely, 22219378688 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 2219378688

2219378688 is an abundant number, since it is smaller than the sum of its proper divisors (4209120207).

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

2219378688 is an frugal number, since it uses more digits than its factorization.

2219378688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 352 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 2219378688 is about 47110.2821897725. The cubic root of 2219378688 is about 1304.3990398071.

The spelling of 2219378688 in words is "two billion, two hundred nineteen million, three hundred seventy-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 347 384 512 576 694 768 1024 1041 1152 1388 1536 2048 2082 2304 2776 3072 3123 4164 4608 5552 6144 6246 8328 9216 11104 12492 16656 18432 22208 24984 33312 44416 49968 66624 88832 99936 120409 133248 177664 199872 240818 266496 355328 361227 399744 481636 532992 710656 722454 799488 963272 1065984 1083681 1444908 1598976 1926544 2131968 2167362 2889816 3197952 3853088 4334724 5779632 6395904 7706176 8669448 11559264 15412352 17338896 23118528 30824704 34677792 46237056 61649408 69355584 92474112 123298816 138711168 184948224 246597632 277422336 369896448 554844672 739792896 1109689344 2219378688