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335000404224 = 2832145399481
BaseRepresentation
bin1001101111111111001…
…01001000000100000000
31012000200202100210011200
410313333211020010000
520442040100413344
6413521433141200
733126423311223
oct4677745100400
91160622323150
10335000404224
1111a088aa4002
1254b12b5a800
132578a164575
14122dd7155ba
158aaa2be069
hex4dff948100

335000404224 has 54 divisors (see below), whose sum is σ = 965888758926. Its totient is φ = 111666800640.

The previous prime is 335000404213. The next prime is 335000404229. The reversal of 335000404224 is 422404000533.

335000404224 is a `hidden beast` number, since 3 + 35 + 0 + 0 + 0 + 404 + 224 = 666.

It can be written as a sum of positive squares in only one way, i.e., 265810362624 + 69190041600 = 515568^2 + 263040^2 .

It is a super-2 number, since 2×3350004042242 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (335000404229) 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 in 5 ways as a sum of consecutive naturals, for example, 72697437 + ... + 72702044.

It is an arithmetic number, because the mean of its divisors is an integer number (17886828869).

Almost surely, 2335000404224 is an apocalyptic number.

It is an amenable number.

335000404224 is an abundant number, since it is smaller than the sum of its proper divisors (630888354702).

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

335000404224 is a wasteful number, since it uses less digits than its factorization.

335000404224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145399503 (or 145399486 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 335000404224 its reverse (422404000533), we get a palindrome (757404404757).

The spelling of 335000404224 in words is "three hundred thirty-five billion, four hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 145399481 290798962 436198443 581597924 872396886 1163195848 1308595329 1744793772 2326391696 2617190658 3489587544 4652783392 5234381316 6979175088 9305566784 10468762632 13958350176 18611133568 20937525264 27916700352 37222267136 41875050528 55833400704 83750101056 111666801408 167500202112 335000404224