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22001000040 = 2332571860759
BaseRepresentation
bin10100011111010111…
…001001111001101000
32002210021202121021100
4110133113021321220
5330024224000130
614035045441400
71406130262155
oct243727117150
962707677240
1022001000040
11936aa99a68
124320110260
1320c8112226
1410c9d6122c
1588b779c60
hex51f5c9e68

22001000040 has 96 divisors (see below), whose sum is σ = 72510422400. Its totient is φ = 5784293760.

The previous prime is 22001000023. The next prime is 22001000059. The reversal of 22001000040 is 4000010022.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 22000999986 and 22001000031.

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 23 ways as a sum of consecutive naturals, for example, 404820 + ... + 455939.

It is an arithmetic number, because the mean of its divisors is an integer number (755316900).

Almost surely, 222001000040 is an apocalyptic number.

22001000040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22001000040 is an abundant number, since it is smaller than the sum of its proper divisors (50509422360).

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

22001000040 is a wasteful number, since it uses less digits than its factorization.

22001000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860847 (or 860840 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 22001000040 its reverse (4000010022), we get a palindrome (26001010062).

The spelling of 22001000040 in words is "twenty-two billion, one million, forty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 71 72 90 120 142 180 213 284 355 360 426 568 639 710 852 1065 1278 1420 1704 2130 2556 2840 3195 4260 5112 6390 8520 12780 25560 860759 1721518 2582277 3443036 4303795 5164554 6886072 7746831 8607590 10329108 12911385 15493662 17215180 20658216 25822770 30987324 34430360 38734155 51645540 61113889 61974648 77468310 103291080 122227778 154936620 183341667 244455556 305569445 309873240 366683334 488911112 550025001 611138890 733366668 916708335 1100050002 1222277780 1466733336 1833416670 2200100004 2444555560 2750125005 3666833340 4400200008 5500250010 7333666680 11000500020 22001000040