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2144227220 = 2253110333577
BaseRepresentation
bin111111111001110…
…0100111110010100
312112102202000202222
41333303210332110
513342410232340
6552434121512
7104064426212
oct17763447624
95472660688
102144227220
11a003a6713
124ba120298
13282304805
14164abdcb2
15c83a18b5
hex7fce4f94

2144227220 has 48 divisors (see below), whose sum is σ = 4693398528. Its totient is φ = 821940480.

The previous prime is 2144227213. The next prime is 2144227223. The reversal of 2144227220 is 227224412.

It is a self number, because there is not a number n which added to its sum of digits gives 2144227220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144227223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47072 + ... + 80648.

It is an arithmetic number, because the mean of its divisors is an integer number (97779136).

Almost surely, 22144227220 is an apocalyptic number.

2144227220 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 2144227220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346699264).

2144227220 is an abundant number, since it is smaller than the sum of its proper divisors (2549171308).

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

2144227220 is a wasteful number, since it uses less digits than its factorization.

2144227220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33720 (or 33718 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 26.

The square root of 2144227220 is about 46305.8011484522. The cubic root of 2144227220 is about 1289.5066959838.

The spelling of 2144227220 in words is "two billion, one hundred forty-four million, two hundred twenty-seven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 103 124 155 206 310 412 515 620 1030 2060 3193 6386 12772 15965 31930 33577 63860 67154 134308 167885 335770 671540 1040887 2081774 3458431 4163548 5204435 6916862 10408870 13833724 17292155 20817740 34584310 69168620 107211361 214422722 428845444 536056805 1072113610 2144227220