Search a number
-
+
2144455000 = 2354617989
BaseRepresentation
bin111111111010001…
…1100100101011000
312112110011121020021
41333310130211120
513342440030000
6552443040224
7104066365252
oct17764344530
95473147207
102144455000
11a00541866
124ba210074
132823843ac
14164b3ccd2
15c83e911a
hex7fd1c958

2144455000 has 160 divisors (see below), whose sum is σ = 5229576000. Its totient is φ = 823680000.

The previous prime is 2144454929. The next prime is 2144455009. The reversal of 2144455000 is 5544412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144455009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24094956 + ... + 24095044.

It is an arithmetic number, because the mean of its divisors is an integer number (32684850).

Almost surely, 22144455000 is an apocalyptic number.

2144455000 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 2144455000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614788000).

2144455000 is an abundant number, since it is smaller than the sum of its proper divisors (3085121000).

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

2144455000 is an equidigital number, since it uses as much as digits as its factorization.

2144455000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 2144455000 is about 46308.2606021863. The cubic root of 2144455000 is about 1289.5523555471.

Adding to 2144455000 its reverse (5544412), we get a palindrome (2149999412).

The spelling of 2144455000 in words is "two billion, one hundred forty-four million, four hundred fifty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 79 89 100 122 125 158 178 200 244 250 305 316 356 395 445 488 500 610 625 632 712 790 890 1000 1220 1250 1525 1580 1780 1975 2225 2440 2500 3050 3160 3560 3950 4450 4819 5000 5429 6100 7031 7625 7900 8900 9638 9875 10858 11125 12200 14062 15250 15800 17800 19276 19750 21716 22250 24095 27145 28124 30500 35155 38125 38552 39500 43432 44500 48190 49375 54290 55625 56248 61000 70310 76250 79000 89000 96380 98750 108580 111250 120475 135725 140620 152500 175775 192760 197500 217160 222500 240950 271450 281240 305000 351550 395000 428891 445000 481900 542900 602375 678625 703100 857782 878875 963800 1085800 1204750 1357250 1406200 1715564 1757750 2144455 2409500 2714500 3011875 3393125 3431128 3515500 4288910 4394375 4819000 5429000 6023750 6786250 7031000 8577820 8788750 10722275 12047500 13572500 17155640 17577500 21444550 24095000 27145000 35155000 42889100 53611375 85778200 107222750 214445500 268056875 428891000 536113750 1072227500 2144455000