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2142422224 = 24133901389
BaseRepresentation
bin111111110110010…
…1100010011010000
312112022100022210021
41333230230103100
513341430002344
6552331313224
7104043200635
oct17754542320
95468308707
102142422224
119aa383588
124b95ab814
13281b22077
1416477018c
15c8146b84
hex7fb2c4d0

2142422224 has 10 divisors (see below), whose sum is σ = 4150943090. Its totient is φ = 1071211104.

The previous prime is 2142422221. The next prime is 2142422267. The reversal of 2142422224 is 4222242412.

It can be written as a sum of positive squares in only one way, i.e., 1283932224 + 858490000 = 35832^2 + 29300^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142422221) by changing a digit.

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 as a sum of consecutive naturals, namely, 66950679 + ... + 66950710.

It is an arithmetic number, because the mean of its divisors is an integer number (415094309).

Almost surely, 22142422224 is an apocalyptic number.

It is an amenable number.

2142422224 is a deficient number, since it is larger than the sum of its proper divisors (2008520866).

2142422224 is a wasteful number, since it uses less digits than its factorization.

2142422224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133901397 (or 133901391 counting only the distinct ones).

The product of its digits is 4096, while the sum is 25.

The square root of 2142422224 is about 46286.3070896783. The cubic root of 2142422224 is about 1289.1447617294.

Adding to 2142422224 its reverse (4222242412), we get a palindrome (6364664636).

The spelling of 2142422224 in words is "two billion, one hundred forty-two million, four hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 133901389 267802778 535605556 1071211112 2142422224