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2144054500 = 22537896883
BaseRepresentation
bin111111111001011…
…1010110011100100
312112102102020211221
41333302322303210
513342334221000
6552430310124
7104063106520
oct17762726344
95472366757
102144054500
11a00298975
124ba058344
13282274003
14164a76d80
15c836a61a
hex7fcbace4

2144054500 has 96 divisors (see below), whose sum is σ = 5412476160. Its totient is φ = 726739200.

The previous prime is 2144054459. The next prime is 2144054509. The reversal of 2144054500 is 54504412.

It is a happy number.

2144054500 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2144054509) 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, 308059 + ... + 314941.

It is an arithmetic number, because the mean of its divisors is an integer number (56379960).

Almost surely, 22144054500 is an apocalyptic number.

2144054500 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 2144054500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2706238080).

2144054500 is an abundant number, since it is smaller than the sum of its proper divisors (3268421660).

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

2144054500 is a wasteful number, since it uses less digits than its factorization.

2144054500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6998 (or 6986 counting only the distinct ones).

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

The square root of 2144054500 is about 46303.9361177859. The cubic root of 2144054500 is about 1289.4720712987.

Adding to 2144054500 its reverse (54504412), we get a palindrome (2198558912).

The spelling of 2144054500 in words is "two billion, one hundred forty-four million, fifty-four thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 89 100 125 140 175 178 250 350 356 445 500 623 700 875 890 1246 1750 1780 2225 2492 3115 3500 4450 6230 6883 8900 11125 12460 13766 15575 22250 27532 31150 34415 44500 48181 62300 68830 77875 96362 137660 155750 172075 192724 240905 311500 344150 481810 612587 688300 860375 963620 1204525 1225174 1720750 2409050 2450348 3062935 3441500 4288109 4818100 6022625 6125870 8576218 12045250 12251740 15314675 17152436 21440545 24090500 30629350 42881090 61258700 76573375 85762180 107202725 153146750 214405450 306293500 428810900 536013625 1072027250 2144054500