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2220034011240 = 2335232749292601
BaseRepresentation
bin100000010011100100010…
…101101011000001101000
321212020021222122202100210
4200103210111223001220
5242333112201324430
64415511453301120
7316251340512063
oct40234425530150
97766258582323
102220034011240
11786569361171
122ba310a947a0
1313146b308b66
147964358b8da
153cb3518a2b0
hex204e456b068

2220034011240 has 128 divisors (see below), whose sum is σ = 6952223520000. Its totient is φ = 566061619200.

The previous prime is 2220034011227. The next prime is 2220034011241. The reversal of 2220034011240 is 421104300222.

It is a super-2 number, since 2×22200340112402 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2220034011241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7440940 + ... + 7733540.

It is an arithmetic number, because the mean of its divisors is an integer number (54314246250).

Almost surely, 22220034011240 is an apocalyptic number.

2220034011240 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 2220034011240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3476111760000).

2220034011240 is an abundant number, since it is smaller than the sum of its proper divisors (4732189508760).

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

2220034011240 is a wasteful number, since it uses less digits than its factorization.

2220034011240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295387 (or 295383 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 2220034011240 its reverse (421104300222), we get a palindrome (2641138311462).

The spelling of 2220034011240 in words is "two trillion, two hundred twenty billion, thirty-four million, eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2749 2760 5498 8247 10996 13745 16494 21992 27490 32988 41235 54980 63227 65976 82470 109960 126454 164940 189681 252908 292601 316135 329880 379362 505816 585202 632270 758724 877803 948405 1170404 1264540 1463005 1517448 1755606 1896810 2340808 2529080 2926010 3511212 3793620 4389015 5852020 6729823 7022424 7587240 8778030 11704040 13459646 17556060 20189469 26919292 33649115 35112120 40378938 53838584 67298230 80757876 100947345 134596460 161515752 201894690 269192920 403789380 804360149 807578760 1608720298 2413080447 3217440596 4021800745 4826160894 6434881192 8043601490 9652321788 12065402235 16087202980 18500283427 19304643576 24130804470 32174405960 37000566854 48261608940 55500850281 74001133708 92501417135 96523217880 111001700562 148002267416 185002834270 222003401124 277504251405 370005668540 444006802248 555008502810 740011337080 1110017005620 2220034011240