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22004442040 = 23571312632281
BaseRepresentation
bin10100011111100100…
…010010001110111000
32002210112020110210211
4110133210102032320
5330031114121130
614035251320504
71406201446150
oct243744221670
962715213724
1022004442040
119371a2aa99
1243212b0134
1320c8a48b09
1410ca5b9760
1588bc09a2a
hex51f9123b8

22004442040 has 128 divisors (see below), whose sum is σ = 57256657920. Its totient is φ = 7455052800.

The previous prime is 22004442011. The next prime is 22004442059. The reversal of 22004442040 is 4024440022.

It is a super-3 number, since 3×220044420403 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9645700 + ... + 9647980.

It is an arithmetic number, because the mean of its divisors is an integer number (447317640).

Almost surely, 222004442040 is an apocalyptic number.

22004442040 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 22004442040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28628328960).

22004442040 is an abundant number, since it is smaller than the sum of its proper divisors (35252215880).

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

22004442040 is a wasteful number, since it uses less digits than its factorization.

22004442040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 22004442040 its reverse (4024440022), we get a palindrome (26028882062).

The spelling of 22004442040 in words is "twenty-two billion, four million, four hundred forty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 131 140 262 263 280 524 526 655 917 1048 1052 1310 1315 1834 1841 2104 2281 2620 2630 3668 3682 4562 4585 5240 5260 7336 7364 9124 9170 9205 10520 11405 14728 15967 18248 18340 18410 22810 31934 34453 36680 36820 45620 63868 68906 73640 79835 91240 127736 137812 159670 172265 241171 275624 298811 319340 344530 482342 597622 599903 638680 689060 964684 1195244 1199806 1205855 1378120 1494055 1929368 2091677 2390488 2399612 2411710 2988110 2999515 4183354 4199321 4799224 4823420 5976220 5999030 8366708 8398642 9646840 10458385 11952440 11998060 16733416 16797284 20916770 20996605 23996120 33594568 41833540 41993210 78587293 83667080 83986420 157174586 167972840 314349172 392936465 550111051 628698344 785872930 1100222102 1571745860 2200444204 2750555255 3143491720 4400888408 5501110510 11002221020 22004442040