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222142401321030 = 232514926627622129
BaseRepresentation
bin110010100000100110001110…
…111010111001100001000110
31002010112121100220011001010100
4302200212032322321201012
5213104040114214233110
62104242451011104530
764535154535161651
oct6240461672714106
91063477326131110
10222142401321030
116486607733a343
1220ab88288a2146
1396c4c28027c88
143cbda6cc44898
151aa367885bbc0
hexca098eeb9846

222142401321030 has 96 divisors (see below), whose sum is σ = 581469325164000. Its totient is φ = 58838099014656.

The previous prime is 222142401320999. The next prime is 222142401321037. The reversal of 222142401321030 is 30123104241222.

222142401321030 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 42 + 401 + 3 + 210 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 222142401320985 and 222142401321003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222142401321037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 356757006 + ... + 357379134.

It is an arithmetic number, because the mean of its divisors is an integer number (6056972137125).

Almost surely, 2222142401321030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222142401321030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290734662582000).

222142401321030 is an abundant number, since it is smaller than the sum of its proper divisors (359326923842970).

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

222142401321030 is a wasteful number, since it uses less digits than its factorization.

222142401321030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648918 (or 648915 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 222142401321030 its reverse (30123104241222), we get a palindrome (252265505562252).

The spelling of 222142401321030 in words is "two hundred twenty-two trillion, one hundred forty-two billion, four hundred one million, three hundred twenty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 149 298 447 745 894 1341 1490 2235 2682 4470 6705 13410 26627 53254 79881 133135 159762 239643 266270 399405 479286 622129 798810 1198215 1244258 1866387 2396430 3110645 3732774 3967423 5599161 6221290 7934846 9331935 11198322 11902269 18663870 19837115 23804538 27995805 35706807 39674230 55991610 59511345 71413614 92697221 119022690 178534035 185394442 278091663 357068070 463486105 556183326 834274989 926972210 1390458315 1668549978 2780916630 4171374945 8342749890 16565428883 33130857766 49696286649 82827144415 99392573298 149088859947 165654288830 248481433245 298177719894 496962866490 745444299735 1490888599470 2468248903567 4936497807134 7404746710701 12341244517835 14809493421402 22214240132103 24682489035670 37023733553505 44428480264206 74047467107010 111071200660515 222142401321030