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2002194640 = 245237710529
BaseRepresentation
bin111011101010111…
…0001000011010000
312011112111000201001
41313111301003100
513100030212030
6530401551344
7100421242105
oct16725610320
95145430631
102002194640
11938206516
1247a645554
1325ba65274
1414dcaaaac
15bab97cca
hex775710d0

2002194640 has 40 divisors (see below), whose sum is σ = 4657503240. Its totient is φ = 800464896.

The previous prime is 2002194629. The next prime is 2002194659. The reversal of 2002194640 is 464912002.

It can be written as a sum of positive squares in 4 ways, for example, as 356756544 + 1645438096 = 18888^2 + 40564^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2002194599 and 2002194608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184896 + ... + 195424.

It is an arithmetic number, because the mean of its divisors is an integer number (116437581).

Almost surely, 22002194640 is an apocalyptic number.

2002194640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002194640 is an abundant number, since it is smaller than the sum of its proper divisors (2655308600).

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

2002194640 is a wasteful number, since it uses less digits than its factorization.

2002194640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12919 (or 12913 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 2002194640 is about 44745.8896436310. The cubic root of 2002194640 is about 1260.3817269547.

The spelling of 2002194640 in words is "two billion, two million, one hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2377 4754 9508 10529 11885 19016 21058 23770 38032 42116 47540 52645 84232 95080 105290 168464 190160 210580 421160 842320 25027433 50054866 100109732 125137165 200219464 250274330 400438928 500548660 1001097320 2002194640