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2002148208 = 243217817871
BaseRepresentation
bin111011101010110…
…0101101101110000
312011112101200000100
41313111211231300
513100022220313
6530400552400
7100420656534
oct16725455560
95145350010
102002148208
11938184645
1247a622700
1325ba4a0a8
1414dc97bc4
15bab89173
hex77565b70

2002148208 has 60 divisors (see below), whose sum is σ = 5932843488. Its totient is φ = 628124160.

The previous prime is 2002148207. The next prime is 2002148209. The reversal of 2002148208 is 8028412002.

It is an interprime number because it is at equal distance from previous prime (2002148207) and next prime (2002148209).

It is a super-2 number, since 2×20021482082 = 8017194893595222528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002148207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 406488 + ... + 411383.

Almost surely, 22002148208 is an apocalyptic number.

It is an amenable number.

2002148208 is an abundant number, since it is smaller than the sum of its proper divisors (3930695280).

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

2002148208 is a wasteful number, since it uses less digits than its factorization.

2002148208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817902 (or 817893 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2002148208 is about 44745.3707996704. The cubic root of 2002148208 is about 1260.3719838965.

The spelling of 2002148208 in words is "two billion, two million, one hundred forty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 817871 1635742 2453613 3271484 4907226 6542968 7360839 9814452 13085936 13903807 14721678 19628904 27807614 29443356 39257808 41711421 55615228 58886712 83422842 111230456 117773424 125134263 166845684 222460912 250268526 333691368 500537052 667382736 1001074104 2002148208