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2144010220 = 2251131210141
BaseRepresentation
bin111111111001010…
…1111111111101100
312112102100000002221
41333302233333230
513342331311340
6552425325124
7104062533442
oct17762577754
95472300087
102144010220
11a00268680
124ba0367a4
13282259b01
14164a64b92
15c835c44a
hex7fcaffec

2144010220 has 72 divisors (see below), whose sum is σ = 5075787024. Its totient is φ = 754416000.

The previous prime is 2144010191. The next prime is 2144010221. The reversal of 2144010220 is 220104412.

It is a junction number, because it is equal to n+sod(n) for n = 2144010194 and 2144010203.

It is not an unprimeable number, because it can be changed into a prime (2144010221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206350 + ... + 216490.

It is an arithmetic number, because the mean of its divisors is an integer number (70497042).

Almost surely, 22144010220 is an apocalyptic number.

2144010220 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 2144010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537893512).

2144010220 is an abundant number, since it is smaller than the sum of its proper divisors (2931776804).

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

2144010220 is a wasteful number, since it uses less digits than its factorization.

2144010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10223 (or 10190 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2144010220 is about 46303.4579702208. The cubic root of 2144010220 is about 1289.4631943141.

Adding to 2144010220 its reverse (220104412), we get a palindrome (2364114632).

The spelling of 2144010220 in words is "two billion, one hundred forty-four million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 961 1364 1705 1922 3410 3844 4805 6820 9610 10141 10571 19220 20282 21142 40564 42284 50705 52855 101410 105710 111551 202820 211420 223102 314371 446204 557755 628742 1115510 1257484 1571855 2231020 3143710 3458081 6287420 6916162 9745501 13832324 17290405 19491002 34580810 38982004 48727505 69161620 97455010 107200511 194910020 214401022 428802044 536002555 1072005110 2144010220