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2022342200040 = 2335197191233647
BaseRepresentation
bin11101011011011100111…
…111010000101011101000
321011100000111122012122110
4131123130333100223220
5231113224100400130
64145015015522320
7266052345033351
oct35333477205350
97140014565573
102022342200040
1170a7414a4418
12287b3a3893a0
1311892426b196
146dc4bc6ad28
15379146a3ab0
hex1d6dcfd0ae8

2022342200040 has 128 divisors (see below), whose sum is σ = 6395231232000. Its totient is φ = 510196508928.

The previous prime is 2022342200023. The next prime is 2022342200083. The reversal of 2022342200040 is 400022432202.

It is a super-3 number, since 3×20223422000403 (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1022497 + ... + 2256143.

It is an arithmetic number, because the mean of its divisors is an integer number (49962744000).

Almost surely, 22022342200040 is an apocalyptic number.

2022342200040 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 2022342200040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3197615616000).

2022342200040 is an abundant number, since it is smaller than the sum of its proper divisors (4372889031960).

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

2022342200040 is a wasteful number, since it uses less digits than its factorization.

2022342200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234399 (or 1234395 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 2022342200040 its reverse (400022432202), we get a palindrome (2422364632242).

The spelling of 2022342200040 in words is "two trillion, twenty-two billion, three hundred forty-two million, two hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 719 760 1140 1438 2157 2280 2876 3595 4314 5752 7190 8628 10785 13661 14380 17256 21570 27322 28760 40983 43140 54644 68305 81966 86280 109288 136610 163932 204915 273220 327864 409830 546440 819660 1233647 1639320 2467294 3700941 4934588 6168235 7401882 9869176 12336470 14803764 18504705 23439293 24672940 29607528 37009410 46878586 49345880 70317879 74018820 93757172 117196465 140635758 148037640 187514344 234392930 281271516 351589395 468785860 562543032 703178790 886992193 937571720 1406357580 1773984386 2660976579 2812715160 3547968772 4434960965 5321953158 7095937544 8869921930 10643906316 13304882895 16852851667 17739843860 21287812632 26609765790 33705703334 35479687720 50558555001 53219531580 67411406668 84264258335 101117110002 106439063160 134822813336 168528516670 202234220004 252792775005 337057033340 404468440008 505585550010 674114066680 1011171100020 2022342200040