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224434242324 = 22326234284509
BaseRepresentation
bin1101000100000101010…
…0101100001100010100
3210110022012121210200100
43101001110230030110
512134120131223244
6251034220414100
722133455404045
oct3210124541424
9713265553610
10224434242324
11872003080a6
12375b66a7330
1318219588a26
14ac112768cc
155c8863eb69
hex344152c314

224434242324 has 18 divisors (see below), whose sum is σ = 567319890410. Its totient is φ = 74811414096.

The previous prime is 224434242313. The next prime is 224434242379. The reversal of 224434242324 is 423242434422.

224434242324 is a `hidden beast` number, since 2 + 244 + 342 + 42 + 32 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 175142250000 + 49291992324 = 418500^2 + 222018^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 6234284509 = 224434242324 / (2 + 2 + 4 + 4 + 3 + 4 + 2 + 4 + 2 + 3 + 2 + 4).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3117142219 + ... + 3117142290.

Almost surely, 2224434242324 is an apocalyptic number.

It is an amenable number.

224434242324 is an abundant number, since it is smaller than the sum of its proper divisors (342885648086).

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

224434242324 is a wasteful number, since it uses less digits than its factorization.

224434242324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6234284519 (or 6234284514 counting only the distinct ones).

The product of its digits is 294912, while the sum is 36.

Adding to 224434242324 its reverse (423242434422), we get a palindrome (647676676746).

The spelling of 224434242324 in words is "two hundred twenty-four billion, four hundred thirty-four million, two hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 6234284509 12468569018 18702853527 24937138036 37405707054 56108560581 74811414108 112217121162 224434242324