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224004042 = 23413710093
BaseRepresentation
bin11010101101000…
…00011111001010
3120121111120210000
431112200133022
5424321112132
634121103430
75360001003
oct1526403712
9517446700
10224004042
11105498609
1263027b76
1337540092
1421a701aa
15149eb87c
hexd5a07ca

224004042 has 40 divisors (see below), whose sum is σ = 505648836. Its totient is φ = 74115648.

The previous prime is 224004041. The next prime is 224004043. The reversal of 224004042 is 240400422.

224004042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (224004041) and next prime (224004043).

It can be written as a sum of positive squares in 2 ways, for example, as 223472601 + 531441 = 14949^2 + 729^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (224004041) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17148 + ... + 27240.

Almost surely, 2224004042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224004042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252824418).

224004042 is an abundant number, since it is smaller than the sum of its proper divisors (281644794).

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

224004042 is a wasteful number, since it uses less digits than its factorization.

224004042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10244 (or 10235 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 224004042 is about 14966.7645802291. The cubic root of 224004042 is about 607.3214472974.

Adding to 224004042 its reverse (240400422), we get a palindrome (464404464).

The spelling of 224004042 in words is "two hundred twenty-four million, four thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 137 162 274 411 822 1233 2466 3699 7398 10093 11097 20186 22194 30279 60558 90837 181674 272511 545022 817533 1382741 1635066 2765482 4148223 8296446 12444669 24889338 37334007 74668014 112002021 224004042