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222003134140424 = 23713536319118481
BaseRepresentation
bin110010011110100100100001…
…111100110001000000001000
31002010001021220010101020121012
4302132210201330301000020
5213044244404314443144
62104054455404103052
764522124422524230
oct6236444174610010
91063037803336535
10222003134140424
116481200068126a
1220a95840534a88
1396b4a62226730
143cb701aa94cc0
151a9ec27141e9e
hexc9e921f31008

222003134140424 has 128 divisors (see below), whose sum is σ = 522808530209280. Its totient is φ = 86031764582400.

The previous prime is 222003134140363. The next prime is 222003134140451. The reversal of 222003134140424 is 424041431300222.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19787264 + ... + 28905744.

It is an arithmetic number, because the mean of its divisors is an integer number (4084441642260).

Almost surely, 2222003134140424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222003134140424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261404265104640).

222003134140424 is an abundant number, since it is smaller than the sum of its proper divisors (300805396068856).

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

222003134140424 is a wasteful number, since it uses less digits than its factorization.

222003134140424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9119191 (or 9119187 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 222003134140424 its reverse (424041431300222), we get a palindrome (646044565440646).

The spelling of 222003134140424 in words is "two hundred twenty-two trillion, three billion, one hundred thirty-four million, one hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 53 56 91 104 106 182 212 364 371 424 631 689 728 742 1262 1378 1484 2524 2756 2968 4417 4823 5048 5512 8203 8834 9646 16406 17668 19292 32812 33443 35336 38584 57421 65624 66886 114842 133772 229684 234101 267544 434759 459368 468202 869518 936404 1739036 1872808 3043313 3478072 6086626 9118481 12173252 18236962 24346504 36473924 63829367 72947848 118540253 127658734 237080506 255317468 474161012 483279493 510634936 829781771 948322024 966558986 1659563542 1933117972 3319127084 3382956451 3866235944 5753761511 6282633409 6638254168 6765912902 11507523022 12565266818 13531825804 23015046044 25130533636 27063651608 40276330577 43978433863 46030092088 50261067272 74798899643 80552661154 87956867726 149597799286 161105322308 175913735452 299195598572 304949360083 322210644616 351827470904 523592297501 598391197144 609898720166 1047184595002 1219797440332 2094369190004 2134645520581 2439594880664 3964341681079 4188738380008 4269291041162 7928683362158 8538582082324 15857366724316 17077164164648 27750391767553 31714733448632 55500783535106 111001567070212 222003134140424