Search a number
-
+
2144513400 = 233523574189
BaseRepresentation
bin111111111010010…
…1010110101111000
312112110021120100020
41333310222311320
513342443412100
6552444210440
7104100030441
oct17764526570
95473246306
102144513400
11a00581727
124ba239a20
132823a4b53
14164b562c8
15c840b5a0
hex7fd2ad78

2144513400 has 48 divisors (see below), whose sum is σ = 6647993400. Its totient is φ = 571870080.

The previous prime is 2144513387. The next prime is 2144513407. The reversal of 2144513400 is 43154412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144513407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1786495 + ... + 1787694.

Almost surely, 22144513400 is an apocalyptic number.

2144513400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144513400 is an abundant number, since it is smaller than the sum of its proper divisors (4503480000).

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

2144513400 is a wasteful number, since it uses less digits than its factorization.

2144513400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3574208 (or 3574199 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2144513400 is about 46308.8911549391. The cubic root of 2144513400 is about 1289.5640615787.

Adding to 2144513400 its reverse (43154412), we get a palindrome (2187667812).

The spelling of 2144513400 in words is "two billion, one hundred forty-four million, five hundred thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 3574189 7148378 10722567 14296756 17870945 21445134 28593512 35741890 42890268 53612835 71483780 85780536 89354725 107225670 142967560 178709450 214451340 268064175 357418900 428902680 536128350 714837800 1072256700 2144513400