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2022231111040 = 27571912363303
BaseRepresentation
bin11101011011010110010…
…111011111010110000000
321011022201202121022012001
4131123112113133112000
5231113012131023130
64145000010513344
7266046525554620
oct35332627372600
97138652538161
102022231111040
1170a694819628
12287b09135854
1311890724424a
146dc3b1d0880
1537909a5d6ca
hex1d6d65df580

2022231111040 has 128 divisors (see below), whose sum is σ = 5553953464320. Its totient is φ = 689706055680.

The previous prime is 2022231111037. The next prime is 2022231111077. The reversal of 2022231111040 is 401111322202.

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

It is a junction number, because it is equal to n+sod(n) for n = 2022231110999 and 2022231111017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325972 + ... + 2037331.

It is an arithmetic number, because the mean of its divisors is an integer number (43390261440).

Almost surely, 22022231111040 is an apocalyptic number.

2022231111040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022231111040 is an abundant number, since it is smaller than the sum of its proper divisors (3531722353280).

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

2022231111040 is a wasteful number, since it uses less digits than its factorization.

2022231111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363520 (or 2363508 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 2022231111040 its reverse (401111322202), we get a palindrome (2423342433242).

The spelling of 2022231111040 in words is "two trillion, twenty-two billion, two hundred thirty-one million, one hundred eleven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 191 224 280 320 382 448 560 640 764 896 955 1120 1337 1528 1910 2240 2674 3056 3820 4480 5348 6112 6685 7640 10696 12224 13370 15280 21392 24448 26740 30560 42784 53480 61120 85568 106960 122240 171136 213920 427840 855680 2363303 4726606 9453212 11816515 16543121 18906424 23633030 33086242 37812848 47266060 66172484 75625696 82715605 94532120 132344968 151251392 165431210 189064240 264689936 302502784 330862420 378128480 451390873 529379872 661724840 756256960 902781746 1058759744 1323449680 1512513920 1805563492 2117519488 2256954365 2646899360 3159736111 3611126984 4513908730 5293798720 6319472222 7222253968 9027817460 10587597440 12638944444 14444507936 15798680555 18055634920 25277888888 28889015872 31597361110 36111269840 50555777776 57778031744 63194722220 72222539680 101111555552 126389444440 144445079360 202223111104 252778888880 288890158720 404446222208 505557777760 1011115555520 2022231111040