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1022224444430 = 257163317409691
BaseRepresentation
bin11101110000000010101…
…00110010110000001110
310121201112120122011211112
432320001110302300032
5113222003424210210
62101334201252022
7133565450261450
oct16700124626016
93551476564745
101022224444430
1136458305aa42
12146144a94012
137551a783187
1437693d302d0
151b8cc92bd05
hexee01532c0e

1022224444430 has 128 divisors (see below), whose sum is σ = 2130705423360. Its totient is φ = 345877724160.

The previous prime is 1022224444429. The next prime is 1022224444433. The reversal of 1022224444430 is 344444222201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022224444433) 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 63 ways as a sum of consecutive naturals, for example, 1479340385 + ... + 1479341075.

It is an arithmetic number, because the mean of its divisors is an integer number (16646136120).

Almost surely, 21022224444430 is an apocalyptic number.

1022224444430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1022224444430 is an abundant number, since it is smaller than the sum of its proper divisors (1108480978930).

1022224444430 is a wasteful number, since it uses less digits than its factorization.

1022224444430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594.

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 1022224444430 its reverse (344444222201), we get a palindrome (1366668666631).

The spelling of 1022224444430 in words is "one trillion, twenty-two billion, two hundred twenty-four million, four hundred forty-four thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 35 70 163 317 326 409 634 691 815 818 1141 1382 1585 1630 2045 2219 2282 2863 3170 3455 4090 4438 4837 5705 5726 6910 9674 11095 11410 14315 22190 24185 28630 48370 51671 66667 103342 112633 129653 133334 219047 225266 258355 259306 282619 333335 361697 438094 466669 516710 563165 565238 648265 666670 723394 788431 907571 933338 1095235 1126330 1296530 1413095 1533329 1576862 1808485 1815142 1978333 2190470 2333345 2826190 3066658 3616970 3942155 3956666 4537855 4666690 7666645 7884310 9075710 9891665 15333290 19783330 21133439 35704661 42266878 46066897 71409322 89590223 92133794 105667195 147934073 178523305 179180446 211334390 230334485 249932627 295868146 322468279 357046610 447951115 460668970 499865254 627131561 644936558 739670365 895902230 1249663135 1254263122 1479340730 1612341395 2499326270 3135657805 3224682790 6271315610 14603206349 29206412698 73016031745 102222444443 146032063490 204444888886 511112222215 1022224444430