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2144433220 = 225432103563
BaseRepresentation
bin111111111010001…
…0111010001000100
312112110010111100121
41333310113101010
513342433330340
6552442351324
7104066244616
oct17764272104
95473114317
102144433220
11a00527466
124ba1bb544
132823774c7
14164b34db6
15c83e294a
hex7fd17444

2144433220 has 72 divisors (see below), whose sum is σ = 4663503936. Its totient is φ = 828217152.

The previous prime is 2144433197. The next prime is 2144433241. The reversal of 2144433220 is 223344412.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3808659 + ... + 3809221.

It is an arithmetic number, because the mean of its divisors is an integer number (64770888).

Almost surely, 22144433220 is an apocalyptic number.

2144433220 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 2144433220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331751968).

2144433220 is an abundant number, since it is smaller than the sum of its proper divisors (2519070716).

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

2144433220 is a wasteful number, since it uses less digits than its factorization.

2144433220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 2144433220 is about 46308.0254383622. The cubic root of 2144433220 is about 1289.5479897843.

Adding to 2144433220 its reverse (223344412), we get a palindrome (2367777632).

The spelling of 2144433220 in words is "two billion, one hundred forty-four million, four hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 103 172 206 215 412 430 515 563 860 1030 1126 1849 2060 2252 2815 3698 4429 5630 7396 8858 9245 11260 17716 18490 22145 24209 36980 44290 48418 57989 88580 96836 115978 121045 190447 231956 242090 289945 380894 484180 579890 761788 952235 1040987 1159780 1904470 2081974 2493527 3808940 4163948 4987054 5204935 9974108 10409870 12467635 20819740 24935270 49870540 107221661 214443322 428886644 536108305 1072216610 2144433220