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222144134024319 = 313234093079196657
BaseRepresentation
bin110010100000100111110110…
…001100101000110001111111
31002010112202211122112111012020
4302200213312030220301333
5213104102141302234234
62104243334545011223
764535245505002023
oct6240476614506177
91063482748474166
10222144134024319
1164866886409a31
1220ab9031023b13
1396c5142cb4ab0
143cbdb95000383
151aa372aa20549
hexca09f6328c7f

222144134024319 has 64 divisors (see below), whose sum is σ = 333768586905600. Its totient is φ = 130397691359232.

The previous prime is 222144134024303. The next prime is 222144134024359. The reversal of 222144134024319 is 913420431441222.

It is not a de Polignac number, because 222144134024319 - 24 = 222144134024303 is a prime.

It is a super-2 number, since 2×2221441340243192 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222144134024359) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1129503639 + ... + 1129700295.

It is an arithmetic number, because the mean of its divisors is an integer number (5215134170400).

Almost surely, 2222144134024319 is an apocalyptic number.

222144134024319 is a deficient number, since it is larger than the sum of its proper divisors (111624452881281).

222144134024319 is a wasteful number, since it uses less digits than its factorization.

222144134024319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200184.

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 222144134024319 in words is "two hundred twenty-two trillion, one hundred forty-four billion, one hundred thirty-four million, twenty-four thousand, three hundred nineteen".

Divisors: 1 3 13 23 39 69 299 409 897 1227 3079 5317 9237 9407 15951 28221 40027 70817 120081 122291 196657 212451 366873 589971 920621 1259311 2556541 2761863 3777933 4523111 7669623 13569333 16371043 28964153 49113129 58800443 80432713 86892459 176401329 241298139 376533989 605506903 1045625269 1129601967 1816520709 1849952399 3136875807 5549857197 7871589739 13926658769 23614769217 24049381187 41779976307 72148143561 181046563997 247652323327 543139691991 742956969981 3219480203251 5696003436521 9658440609753 17088010309563 74048044674773 222144134024319