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2144423220 = 2235193315683
BaseRepresentation
bin111111111010001…
…0100110100110100
312112110002222122020
41333310110310310
513342433020340
6552442233140
7104066203512
oct17764246464
95473088566
102144423220
11a0051a9a5
124ba1b57b0
13282372aa4
14164b314b2
15c83de9d0
hex7fd14d34

2144423220 has 96 divisors (see below), whose sum is σ = 6340615680. Its totient is φ = 540017280.

The previous prime is 2144423207. The next prime is 2144423221. The reversal of 2144423220 is 223244412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144423221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374499 + ... + 380181.

It is an arithmetic number, because the mean of its divisors is an integer number (66048080).

Almost surely, 22144423220 is an apocalyptic number.

2144423220 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 2144423220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170307840).

2144423220 is an abundant number, since it is smaller than the sum of its proper divisors (4196192460).

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

2144423220 is a wasteful number, since it uses less digits than its factorization.

2144423220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6045 (or 6043 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2144423220 is about 46307.9174655911. The cubic root of 2144423220 is about 1289.5459852919.

Adding to 2144423220 its reverse (223244412), we get a palindrome (2367667632).

The spelling of 2144423220 in words is "two billion, one hundred forty-four million, four hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 331 380 570 662 993 1140 1324 1655 1986 3310 3972 4965 5683 6289 6620 9930 11366 12578 17049 18867 19860 22732 25156 28415 31445 34098 37734 56830 62890 68196 75468 85245 94335 107977 113660 125780 170490 188670 215954 323931 340980 377340 431908 539885 647862 1079770 1295724 1619655 1881073 2159540 3239310 3762146 5643219 6478620 7524292 9405365 11286438 18810730 22572876 28216095 35740387 37621460 56432190 71480774 107221161 112864380 142961548 178701935 214442322 357403870 428884644 536105805 714807740 1072211610 2144423220