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2144523400 = 235246323159
BaseRepresentation
bin111111111010010…
…1101010010001000
312112110022002001121
41333310231102020
513342444222100
6552444325024
7104100101545
oct17764552210
95473262047
102144523400
11a00589198
124ba243774
132823a9576
14164b59bcc
15c840e51a
hex7fd2d488

2144523400 has 48 divisors (see below), whose sum is σ = 4997001600. Its totient is φ = 855919680.

The previous prime is 2144523389. The next prime is 2144523413. The reversal of 2144523400 is 43254412.

It is a happy number.

It is a super-2 number, since 2×21445234002 = 9197961226295120000, which contains 22 as substring.

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

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 11 ways as a sum of consecutive naturals, for example, 81021 + ... + 104179.

It is an arithmetic number, because the mean of its divisors is an integer number (104104200).

Almost surely, 22144523400 is an apocalyptic number.

2144523400 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 2144523400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498500800).

2144523400 is an abundant number, since it is smaller than the sum of its proper divisors (2852478200).

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

2144523400 is a wasteful number, since it uses less digits than its factorization.

2144523400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23638 (or 23629 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 2144523400 is about 46308.9991254400. Note that the first 3 decimals coincide. The cubic root of 2144523400 is about 1289.5660660148.

Adding to 2144523400 its reverse (43254412), we get a palindrome (2187777812).

The spelling of 2144523400 in words is "two billion, one hundred forty-four million, five hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 463 926 1852 2315 3704 4630 9260 11575 18520 23150 23159 46300 46318 92600 92636 115795 185272 231590 463180 578975 926360 1157950 2315900 4631800 10722617 21445234 42890468 53613085 85780936 107226170 214452340 268065425 428904680 536130850 1072261700 2144523400