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2144362224 = 24344674213
BaseRepresentation
bin111111111010000…
…0101111011110000
312112102222212222010
41333310011323300
513342424042344
6552441042520
7104065530624
oct17764057360
95472885863
102144362224
11a00489094
124ba186440
132823510b4
14164b17184
15c83cb8b9
hex7fd05ef0

2144362224 has 20 divisors (see below), whose sum is σ = 5539602536. Its totient is φ = 714787392.

The previous prime is 2144362217. The next prime is 2144362229. The reversal of 2144362224 is 4222634412.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2144362191 and 2144362200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144362229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22337059 + ... + 22337154.

Almost surely, 22144362224 is an apocalyptic number.

2144362224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2144362224 is an abundant number, since it is smaller than the sum of its proper divisors (3395240312).

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

2144362224 is a wasteful number, since it uses less digits than its factorization.

2144362224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44674224 (or 44674218 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 2144362224 is about 46307.2588694256. The cubic root of 2144362224 is about 1289.5337585555.

Adding to 2144362224 its reverse (4222634412), we get a palindrome (6366996636).

The spelling of 2144362224 in words is "two billion, one hundred forty-four million, three hundred sixty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 44674213 89348426 134022639 178696852 268045278 357393704 536090556 714787408 1072181112 2144362224