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22125220415040 = 2635106121722059
BaseRepresentation
bin1010000011111011011011…
…11001110100011001000000
32220100011001122121112021110
411001331231321310121000
510344444422411240130
6115020104055123320
74442331405342201
oct501755571643100
986304048545243
1022125220415040
117060287137036
122594023673540
13c46526445642
14566c1b4cd5a8
152857db2adab0
hex141f6de74640

22125220415040 has 112 divisors (see below), whose sum is σ = 70313786890560. Its totient is φ = 5894497658880.

The previous prime is 22125220415033. The next prime is 22125220415047. The reversal of 22125220415040 is 4051402252122.

It is an interprime number because it is at equal distance from previous prime (22125220415033) and next prime (22125220415047).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22125220414989 and 22125220415007.

It is not an unprimeable number, because it can be changed into a prime (22125220415047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9842470 + ... + 11879589.

Almost surely, 222125220415040 is an apocalyptic number.

22125220415040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22125220415040 is an abundant number, since it is smaller than the sum of its proper divisors (48188566475520).

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

22125220415040 is a wasteful number, since it uses less digits than its factorization.

22125220415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21723140 (or 21723130 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 22125220415040 its reverse (4051402252122), we get a palindrome (26176622667162).

The spelling of 22125220415040 in words is "twenty-two trillion, one hundred twenty-five billion, two hundred twenty million, four hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1061 2122 3183 4244 5305 6366 8488 10610 12732 15915 16976 21220 25464 31830 33952 42440 50928 63660 67904 84880 101856 127320 169760 203712 254640 339520 509280 1018560 21722059 43444118 65166177 86888236 108610295 130332354 173776472 217220590 260664708 325830885 347552944 434441180 521329416 651661770 695105888 868882360 1042658832 1303323540 1390211776 1737764720 2085317664 2606647080 3475529440 4170635328 5213294160 6951058880 10426588320 20853176640 23047104599 46094209198 69141313797 92188418396 115235522995 138282627594 184376836792 230471045990 276565255188 345706568985 368753673584 460942091980 553130510376 691413137970 737507347168 921884183960 1106261020752 1382826275940 1475014694336 1843768367920 2212522041504 2765652551880 3687536735840 4425044083008 5531305103760 7375073471680 11062610207520 22125220415040