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222043424340 = 223583127351079
BaseRepresentation
bin1100111011001011010…
…0011100011001010100
3210020010120212122222010
43032302310130121110
512114221104034330
6250001053104220
722020304652163
oct3166264343124
9706116778863
10222043424340
11861937a7171
1237049a88070
1317c2816652a
14aa659273da
155b987ce3b0
hex33b2d1c654

222043424340 has 96 divisors (see below), whose sum is σ = 634168442880. Its totient is φ = 58037406336.

The previous prime is 222043424333. The next prime is 222043424359. The reversal of 222043424340 is 43424340222.

222043424340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 222043424298 and 222043424307.

It is a congruent 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, 456921 + ... + 807999.

It is an arithmetic number, because the mean of its divisors is an integer number (6605921280).

Almost surely, 2222043424340 is an apocalyptic number.

222043424340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222043424340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317084221440).

222043424340 is an abundant number, since it is smaller than the sum of its proper divisors (412125018540).

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

222043424340 is a wasteful number, since it uses less digits than its factorization.

222043424340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351301 (or 351299 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 222043424340 its reverse (43424340222), we get a palindrome (265467764562).

The spelling of 222043424340 in words is "two hundred twenty-two billion, forty-three million, four hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 127 166 249 254 332 381 415 498 508 635 762 830 996 1245 1270 1524 1660 1905 2490 2540 3810 4980 7620 10541 21082 31623 42164 52705 63246 105410 126492 158115 210820 316230 351079 632460 702158 1053237 1404316 1755395 2106474 3510790 4212948 5266185 7021580 10532370 21064740 29139557 44587033 58279114 87418671 89174066 116558228 133761099 145697785 174837342 178348132 222935165 267522198 291395570 349674684 437093355 445870330 535044396 582791140 668805495 874186710 891740660 1337610990 1748373420 2675221980 3700723739 7401447478 11102171217 14802894956 18503618695 22204342434 37007237390 44408684868 55510856085 74014474780 111021712170 222043424340