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2114782280 = 2351318122469
BaseRepresentation
bin111111000001101…
…0000010001001000
312110101100001220122
41332003100101020
513312341013110
6545503042412
7103256232002
oct17603202110
95411301818
102114782280
11995815256
124b02a0408
13279195380
14160c17372
15c59d7255
hex7e0d0448

2114782280 has 64 divisors (see below), whose sum is σ = 5152820400. Its totient is φ = 776494080.

The previous prime is 2114782277. The next prime is 2114782361. The reversal of 2114782280 is 822874112.

It can be written as a sum of positive squares in 8 ways, for example, as 203518756 + 1911263524 = 14266^2 + 43718^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2114782280.

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, 82886 + ... + 105354.

Almost surely, 22114782280 is an apocalyptic number.

2114782280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114782280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576410200).

2114782280 is an abundant number, since it is smaller than the sum of its proper divisors (3038038120).

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

2114782280 is a wasteful number, since it uses less digits than its factorization.

2114782280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22674 (or 22670 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 2114782280 is about 45986.7620082128. The cubic root of 2114782280 is about 1283.5768849427.

The spelling of 2114782280 in words is "two billion, one hundred fourteen million, seven hundred eighty-two thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 181 260 362 520 724 905 1448 1810 2353 3620 4706 7240 9412 11765 18824 22469 23530 44938 47060 89876 94120 112345 179752 224690 292097 449380 584194 898760 1168388 1460485 2336776 2920970 4066889 5841940 8133778 11683880 16267556 20334445 32535112 40668890 52869557 81337780 105739114 162675560 211478228 264347785 422956456 528695570 1057391140 2114782280