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224042413365 = 325109110341411
BaseRepresentation
bin1101000010100111110…
…1111110110100110101
3210102021220022211101200
43100221331332310311
512132314324211430
6250531302243113
722120660043421
oct3205175766465
9712256284350
10224042413365
118701a113211
1237507426499
1318186348684
14abb51dbb81
155c64042460
hex3429f7ed35

224042413365 has 48 divisors (see below), whose sum is σ = 392267715840. Its totient is φ = 118282861440.

The previous prime is 224042413363. The next prime is 224042413367. The reversal of 224042413365 is 563314240422.

224042413365 is a `hidden beast` number, since 2 + 2 + 40 + 424 + 133 + 65 = 666.

It is an interprime number because it is at equal distance from previous prime (224042413363) and next prime (224042413367).

It is not a de Polignac number, because 224042413365 - 21 = 224042413363 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224042413363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5389510 + ... + 5430920.

It is an arithmetic number, because the mean of its divisors is an integer number (8172244080).

Almost surely, 2224042413365 is an apocalyptic number.

It is an amenable number.

224042413365 is a deficient number, since it is larger than the sum of its proper divisors (168225302475).

224042413365 is a wasteful number, since it uses less digits than its factorization.

224042413365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42634 (or 42631 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 224042413365 its reverse (563314240422), we get a palindrome (787356653787).

The spelling of 224042413365 in words is "two hundred twenty-four billion, forty-two million, four hundred thirteen thousand, three hundred sixty-five".

Divisors: 1 3 5 9 15 45 109 327 545 981 1103 1635 3309 4905 5515 9927 16545 41411 49635 120227 124233 207055 360681 372699 601135 621165 1082043 1803405 1863495 4513799 5410215 13541397 22568995 40624191 45676333 67706985 137028999 203120955 228381665 411086997 685144995 2055434985 4978720297 14936160891 24893601485 44808482673 74680804455 224042413365