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10023240220 = 2257533833527
BaseRepresentation
bin10010101010110111…
…01000001000011100
3221212112111100201021
421111123220020130
5131011422141340
64334332453524
7503246064460
oct112533501034
927775440637
1010023240220
114283948804
121b3891a2a4
13c39766696
146b12924a0
153d9e4de4a
hex2556e821c

10023240220 has 96 divisors (see below), whose sum is σ = 24580620288. Its totient is φ = 3361942272.

The previous prime is 10023240209. The next prime is 10023240247. The reversal of 10023240220 is 2204232001.

It is a junction number, because it is equal to n+sod(n) for n = 10023240194 and 10023240203.

It is a congruent number.

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, 2840097 + ... + 2843623.

It is an arithmetic number, because the mean of its divisors is an integer number (256048128).

Almost surely, 210023240220 is an apocalyptic number.

10023240220 is a gapful number since it is divisible by the number (10) 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 10023240220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12290310144).

10023240220 is an abundant number, since it is smaller than the sum of its proper divisors (14557380068).

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

10023240220 is a wasteful number, since it uses less digits than its factorization.

10023240220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3979 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10023240220 its reverse (2204232001), we get a palindrome (12227472221).

The spelling of 10023240220 in words is "ten billion, twenty-three million, two hundred forty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 383 530 742 766 1060 1484 1532 1855 1915 2681 3527 3710 3830 5362 7054 7420 7660 10724 13405 14108 17635 20299 24689 26810 35270 40598 49378 53620 70540 81196 98756 101495 123445 142093 186931 202990 246890 284186 373862 405980 493780 568372 710465 747724 934655 1308517 1350841 1420930 1869310 2617034 2701682 2841860 3738620 5234068 5403364 6542585 6754205 9455887 13085170 13508410 18911774 26170340 27016820 37823548 47279435 71594573 94558870 143189146 189117740 286378292 357972865 501162011 715945730 1002324022 1431891460 2004648044 2505810055 5011620110 10023240220