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2210024031040 = 26571831538841
BaseRepresentation
bin100000001010001111101…
…100101000001101000000
321211021110101010001222101
4200022033230220031000
5242202112122443130
64411134312520144
7315445312212250
oct40121754501500
97737411101871
102210024031040
117822a1a4a961
122b83986b0054
13130534535b57
1478d73d8b960
153c74b4aa1ca
hex2028fb28340

2210024031040 has 112 divisors (see below), whose sum is σ = 6017718484224. Its totient is φ = 757307289600.

The previous prime is 2210024031011. The next prime is 2210024031067. The reversal of 2210024031040 is 401304200122.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-5 number, since 5×22100240310405 (a number of 63 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2210024030999 and 2210024031017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3832020 + ... + 4370860.

Almost surely, 22210024031040 is an apocalyptic number.

2210024031040 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 2210024031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008859242112).

2210024031040 is an abundant number, since it is smaller than the sum of its proper divisors (3807694453184).

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

2210024031040 is a wasteful number, since it uses less digits than its factorization.

2210024031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540696 (or 540686 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 2210024031040 its reverse (401304200122), we get a palindrome (2611328231162).

The spelling of 2210024031040 in words is "two trillion, two hundred ten billion, twenty-four million, thirty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 1831 2240 3662 7324 9155 12817 14648 18310 25634 29296 36620 51268 58592 64085 73240 102536 117184 128170 146480 205072 256340 292960 410144 512680 538841 585920 820288 1025360 1077682 2050720 2155364 2694205 3771887 4101440 4310728 5388410 7543774 8621456 10776820 15087548 17242912 18859435 21553640 30175096 34485824 37718870 43107280 60350192 75437740 86214560 120700384 150875480 172429120 241400768 301750960 603501920 986617871 1207003840 1973235742 3946471484 4933089355 6906325097 7892942968 9866178710 13812650194 15785885936 19732357420 27625300388 31571771872 34531625485 39464714840 55250600776 63143543744 69063250970 78929429680 110501201552 138126501940 157858859360 221002403104 276253003880 315717718720 442004806208 552506007760 1105012015520 2210024031040