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22430220341120 = 275972069174631
BaseRepresentation
bin1010001100110011100010…
…10100001100111110000000
32221102022022121210010011222
411012121301110030332000
510414444042401403440
6115412145002054212
74503346525053524
oct506316124147600
987368277703158
1022430220341120
11716866a69a849
1226231634aa368
13c692120a8297
145778b26b3d84
1528d6dc8ac2b5
hex14667150cf80

22430220341120 has 128 divisors (see below), whose sum is σ = 54201546705600. Its totient is φ = 8875249827840.

The previous prime is 22430220341093. The next prime is 22430220341149. The reversal of 22430220341120 is 2114302203422.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×224302203411202 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22430220341120.

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 15 ways as a sum of consecutive naturals, for example, 128356205 + ... + 128530835.

Almost surely, 222430220341120 is an apocalyptic number.

22430220341120 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 22430220341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27100773352800).

22430220341120 is an abundant number, since it is smaller than the sum of its proper divisors (31771326364480).

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

22430220341120 is a wasteful number, since it uses less digits than its factorization.

22430220341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176816 (or 176804 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 22430220341120 its reverse (2114302203422), we get a palindrome (24544522544542).

The spelling of 22430220341120 in words is "twenty-two trillion, four hundred thirty billion, two hundred twenty million, three hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 128 160 194 320 388 485 640 776 970 1552 1940 2069 3104 3880 4138 6208 7760 8276 10345 12416 15520 16552 20690 31040 33104 41380 62080 66208 82760 132416 165520 174631 200693 264832 331040 349262 401386 662080 698524 802772 873155 1003465 1324160 1397048 1605544 1746310 2006930 2794096 3211088 3492620 4013860 5588192 6422176 6985240 8027720 11176384 12844352 13970480 16055440 16939207 22352768 25688704 27940960 32110880 33878414 55881920 64221760 67756828 84696035 111763840 128443520 135513656 169392070 271027312 338784140 361311539 542054624 677568280 722623078 1084109248 1355136560 1445246156 1806557695 2168218496 2710273120 2890492312 3613115390 5420546240 5780984624 7226230780 10841092480 11561969248 14452461560 23123938496 28904923120 35047219283 46247876992 57809846240 70094438566 115619692480 140188877132 175236096415 231239384960 280377754264 350472192830 560755508528 700944385660 1121511017056 1401888771320 2243022034112 2803777542640 4486044068224 5607555085280 11215110170560 22430220341120