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22424630022540 = 223254323912122339
BaseRepresentation
bin1010001100101001001000…
…00110110101000110001100
32221101202220000121111202200
411012110210012311012030
510414401120241210130
6115405422142121500
74503061144121604
oct506244406650614
987352800544680
1022424630022540
117166261047749
122622063280290
13c68830b60675
14577502069c04
1528d4b1beb760
hex1465241b518c

22424630022540 has 144 divisors (see below), whose sum is σ = 69894503078400. Its totient is φ = 5816394751104.

The previous prime is 22424630022539. The next prime is 22424630022541. The reversal of 22424630022540 is 4522003642422.

22424630022540 is a `hidden beast` number, since 2 + 2 + 42 + 46 + 30 + 0 + 2 + 2 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (22424630022539) and next prime (22424630022541).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22424630022495 and 22424630022504.

It is not an unprimeable number, because it can be changed into a prime (22424630022541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4211310 + ... + 7911029.

It is an arithmetic number, because the mean of its divisors is an integer number (485378493600).

Almost surely, 222424630022540 is an apocalyptic number.

22424630022540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22424630022540 is an abundant number, since it is smaller than the sum of its proper divisors (47469873055860).

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

22424630022540 is a wasteful number, since it uses less digits than its factorization.

22424630022540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12122636 (or 12122631 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 22424630022540 its reverse (4522003642422), we get a palindrome (26946633664962).

The spelling of 22424630022540 in words is "twenty-two trillion, four hundred twenty-four billion, six hundred thirty million, twenty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 239 258 387 430 478 516 645 717 774 860 956 1195 1290 1434 1548 1935 2151 2390 2580 2868 3585 3870 4302 4780 7170 7740 8604 10277 10755 14340 20554 21510 30831 41108 43020 51385 61662 92493 102770 123324 154155 184986 205540 308310 369972 462465 616620 924930 1849860 12122339 24244678 36367017 48489356 60611695 72734034 109101051 121223390 145468068 181835085 218202102 242446780 363670170 436404204 521260577 545505255 727340340 1042521154 1091010510 1563781731 2085042308 2182021020 2606302885 2897239021 3127563462 4691345193 5212605770 5794478042 6255126924 7818908655 8691717063 9382690386 10425211540 11588956084 14486195105 15637817310 17383434126 18765380772 23456725965 26075151189 28972390210 31275634620 34766868252 43458585315 46913451930 52150302378 57944780420 86917170630 93826903860 104300604756 124581277903 130375755945 173834341260 249162555806 260751511890 373743833709 498325111612 521503023780 622906389515 747487667418 1121231501127 1245812779030 1494975334836 1868719168545 2242463002254 2491625558060 3737438337090 4484926004508 5606157505635 7474876674180 11212315011270 22424630022540