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2144016620 = 2251913940591
BaseRepresentation
bin111111111001011…
…0001100011101100
312112102100022212222
41333302301203230
513342332012440
6552425414512
7104062561214
oct17762614354
95472308788
102144016620
11a00272469
124ba03a438
1328225c9b5
14164a67244
15c835e2b5
hex7fcb18ec

2144016620 has 48 divisors (see below), whose sum is σ = 4773619200. Its totient is φ = 806604480.

The previous prime is 2144016617. The next prime is 2144016653. The reversal of 2144016620 is 266104412.

It is a self number, because there is not a number n which added to its sum of digits gives 2144016620.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32525 + ... + 73115.

It is an arithmetic number, because the mean of its divisors is an integer number (99450400).

Almost surely, 22144016620 is an apocalyptic number.

2144016620 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 2144016620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386809600).

2144016620 is an abundant number, since it is smaller than the sum of its proper divisors (2629602580).

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

2144016620 is a wasteful number, since it uses less digits than its factorization.

2144016620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40758 (or 40756 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 2144016620 is about 46303.5270794785. The cubic root of 2144016620 is about 1289.4644773546.

The spelling of 2144016620 in words is "two billion, one hundred forty-four million, sixteen thousand, six hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 139 190 278 380 556 695 1390 2641 2780 5282 10564 13205 26410 40591 52820 81182 162364 202955 405910 771229 811820 1542458 3084916 3856145 5642149 7712290 11284298 15424580 22568596 28210745 56421490 107200831 112842980 214401662 428803324 536004155 1072008310 2144016620