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2421166160 = 245725716823
BaseRepresentation
bin1001000001010000…
…0001000001010000
320020201211222120202
42100110001001100
514424304304120
61040125554332
7113666400320
oct22024010120
96221758522
102421166160
111032759a76
12576a159a8
132c77b9aca
1418d7ad280
15e2857875
hex90501050

2421166160 has 80 divisors (see below), whose sum is σ = 6458800896. Its totient is φ = 826834944.

The previous prime is 2421166159. The next prime is 2421166171. The reversal of 2421166160 is 616611242.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135509 + ... + 152331.

Almost surely, 22421166160 is an apocalyptic number.

2421166160 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 2421166160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3229400448).

2421166160 is an abundant number, since it is smaller than the sum of its proper divisors (4037634736).

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

2421166160 is a wasteful number, since it uses less digits than its factorization.

2421166160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17100 (or 17094 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 2421166160 is about 49205.3468639334. The cubic root of 2421166160 is about 1342.7903095066.

The spelling of 2421166160 in words is "two billion, four hundred twenty-one million, one hundred sixty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 257 280 514 560 1028 1285 1799 2056 2570 3598 4112 5140 7196 8995 10280 14392 16823 17990 20560 28784 33646 35980 67292 71960 84115 117761 134584 143920 168230 235522 269168 336460 471044 588805 672920 942088 1177610 1345840 1884176 2355220 4323511 4710440 8647022 9420880 17294044 21617555 30264577 34588088 43235110 60529154 69176176 86470220 121058308 151322885 172940440 242116616 302645770 345880880 484233232 605291540 1210583080 2421166160