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223125245213355 = 34517137236550679
BaseRepresentation
bin110010101110111001100100…
…111110110011101010101011
31002021000120020222022220020000
4302232321210332303222223
5213221141000233311410
62110314153402434043
764666160402341242
oct6256714476635253
91067016228286200
10223125245213355
1165104981072651
1221037201202923
13976680ab734c4
143d15468973959
151abdeedd61dc0
hexcaee64fb3aab

223125245213355 has 80 divisors (see below), whose sum is σ = 426591711501120. Its totient is φ = 111182603470848.

The previous prime is 223125245213291. The next prime is 223125245213369. The reversal of 223125245213355 is 553312542521322.

223125245213355 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 25 + 24 + 521 + 33 + 55 = 666.

It is not a de Polignac number, because 223125245213355 - 26 = 223125245213291 is a prime.

It is a super-3 number, since 3×2231252452133553 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 223125245213355.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 117332095 + ... + 119218584.

It is an arithmetic number, because the mean of its divisors is an integer number (5332396393764).

Almost surely, 2223125245213355 is an apocalyptic number.

223125245213355 is a deficient number, since it is larger than the sum of its proper divisors (203466466287765).

223125245213355 is a wasteful number, since it uses less digits than its factorization.

223125245213355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236550850 (or 236550841 counting only the distinct ones).

The product of its digits is 2160000, while the sum is 45.

Adding to 223125245213355 its reverse (553312542521322), we get a palindrome (776437787734677).

The spelling of 223125245213355 in words is "two hundred twenty-three trillion, one hundred twenty-five billion, two hundred forty-five million, two hundred thirteen thousand, three hundred fifty-five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 135 137 153 255 405 411 459 685 765 1233 1377 2055 2295 2329 3699 6165 6885 6987 11097 11645 18495 20961 34935 55485 62883 104805 188649 314415 943245 236550679 709652037 1182753395 2128956111 3548260185 4021361543 6386868333 10644780555 12064084629 19160604999 20106807715 31934341665 32407443023 36192253887 60320423145 95803024995 97222329069 108576761661 162037215115 180961269435 291666987207 325730284983 486111645345 542883808305 550926531391 875000961621 1458334936035 1628651424915 1652779594173 2625002884863 2754632656955 4375004808105 4958338782519 8263897970865 13125014424315 14875016347557 24791693912595 44625049042671 74375081737785 223125245213355