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2413234302220 = 225773306177141
BaseRepresentation
bin100011000111011111111…
…110010010110100001100
322112200222110002102122101
4203013133332102310030
5304014300440132340
65044342522124444
7336231124055410
oct43073776226414
98480873072571
102413234302220
118504a093a335
1232b84b350724
1314674a97b971
1484b3056cd40
1542b916aac9a
hex231dff92d0c

2413234302220 has 96 divisors (see below), whose sum is σ = 5873095702656. Its totient is φ = 815783270400.

The previous prime is 2413234302179. The next prime is 2413234302223. The reversal of 2413234302220 is 222034323142.

It is a super-2 number, since 2×24132343022202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2413234302223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31244850 + ... + 31321990.

It is an arithmetic number, because the mean of its divisors is an integer number (61178080236).

Almost surely, 22413234302220 is an apocalyptic number.

2413234302220 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 2413234302220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2936547851328).

2413234302220 is an abundant number, since it is smaller than the sum of its proper divisors (3459861400436).

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

2413234302220 is a wasteful number, since it uses less digits than its factorization.

2413234302220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80291 (or 80289 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 2413234302220 its reverse (222034323142), we get a palindrome (2635268625362).

The spelling of 2413234302220 in words is "two trillion, four hundred thirteen billion, two hundred thirty-four million, three hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 140 146 292 365 511 730 1022 1460 2044 2555 3061 5110 6122 10220 12244 15305 21427 30610 42854 61220 77141 85708 107135 154282 214270 223453 308564 385705 428540 446906 539987 771410 893812 1079974 1117265 1542820 1564171 2159948 2234530 2699935 3128342 4469060 5399870 5631293 6256684 7820855 10799740 11262586 15641710 22525172 28156465 31283420 39419051 56312930 78838102 112625860 157676204 197095255 236128601 394190510 472257202 788381020 944514404 1180643005 1652900207 2361286010 3305800414 4722572020 6611600828 8264501035 16529002070 17237387873 33058004140 34474775746 68949551492 86186939365 120661715111 172373878730 241323430222 344747757460 482646860444 603308575555 1206617151110 2413234302220