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2144535500 = 2253291311129
BaseRepresentation
bin111111111010011…
…0000001111001100
312112110022200122202
41333310300033030
513343000114000
6552444501032
7104100152042
oct17764601714
95473280582
102144535500
11a00597298
124ba24a778
132823b1c23
14164b60392
15c8412dd5
hex7fd303cc

2144535500 has 96 divisors (see below), whose sum is σ = 4886481600. Its totient is φ = 821184000.

The previous prime is 2144535469. The next prime is 2144535509. The reversal of 2144535500 is 55354412.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (2144535509) 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, 1898936 + ... + 1900064.

It is an arithmetic number, because the mean of its divisors is an integer number (50900850).

Almost surely, 22144535500 is an apocalyptic number.

2144535500 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 2144535500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443240800).

2144535500 is an abundant number, since it is smaller than the sum of its proper divisors (2741946100).

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

2144535500 is a wasteful number, since it uses less digits than its factorization.

2144535500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 2144535500 is about 46309.1297694094. The cubic root of 2144535500 is about 1289.5684913742.

Adding to 2144535500 its reverse (55354412), we get a palindrome (2199889912).

The spelling of 2144535500 in words is "two billion, one hundred forty-four million, five hundred thirty-five thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 125 131 145 250 262 290 500 524 580 655 725 1129 1310 1450 2258 2620 2900 3275 3625 3799 4516 5645 6550 7250 7598 11290 13100 14500 15196 16375 18995 22580 28225 32741 32750 37990 56450 65482 65500 75980 94975 112900 130964 141125 147899 163705 189950 282250 295798 327410 379900 474875 564500 591596 654820 739495 818525 949750 1478990 1637050 1899500 2957980 3274100 3697475 4092625 4289071 7394950 8185250 8578142 14789900 16370500 17156284 18487375 21445355 36974750 42890710 73949500 85781420 107226775 214453550 428907100 536133875 1072267750 2144535500