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2240000210 = 257212593631
BaseRepresentation
bin1000010110000011…
…1011000011010010
312210002221210121202
42011200323003102
514041420001320
61010134551202
7106336454600
oct20540730322
95702853552
102240000210
11a4a470348
12526208502
132990c8316
141736d0870
15d19bdb75
hex8583b0d2

2240000210 has 48 divisors (see below), whose sum is σ = 4695304320. Its totient is φ = 767178720.

The previous prime is 2240000209. The next prime is 2240000233. The reversal of 2240000210 is 120000422.

It is a junction number, because it is equal to n+sod(n) for n = 2240000191 and 2240000200.

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 23 ways as a sum of consecutive naturals, for example, 615095 + ... + 618725.

It is an arithmetic number, because the mean of its divisors is an integer number (97818840).

Almost surely, 22240000210 is an apocalyptic number.

2240000210 is an abundant number, since it is smaller than the sum of its proper divisors (2455304110).

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

2240000210 is a wasteful number, since it uses less digits than its factorization.

2240000210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4911 (or 4904 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2240000210 is about 47328.6404833268. The cubic root of 2240000210 is about 1308.4265649638.

Adding to 2240000210 its reverse (120000422), we get a palindrome (2360000632).

The spelling of 2240000210 in words is "two billion, two hundred forty million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 1259 2518 3631 6295 7262 8813 12590 17626 18155 25417 36310 44065 50834 61691 88130 123382 127085 177919 254170 308455 355838 616910 889595 1779190 4571429 9142858 22857145 32000003 45714290 64000006 160000015 224000021 320000030 448000042 1120000105 2240000210