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2122424010 = 2325713125717
BaseRepresentation
bin111111010000001…
…1001111011001010
312110220201022101200
41332200121323022
513321320032020
6550334525030
7103411210050
oct17640317312
95426638350
102122424010
1199a064633
124b2966776
1327a93c6c5
14161c461d0
15c64e6590
hex7e819eca

2122424010 has 96 divisors (see below), whose sum is σ = 6355020672. Its totient is φ = 481403520.

The previous prime is 2122423913. The next prime is 2122424027. The reversal of 2122424010 is 104242212.

2122424010 is a `hidden beast` number, since 21 + 2 + 242 + 401 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 69672 + ... + 95388.

It is an arithmetic number, because the mean of its divisors is an integer number (66198132).

Almost surely, 22122424010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122424010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177510336).

2122424010 is an abundant number, since it is smaller than the sum of its proper divisors (4232596662).

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

2122424010 is a wasteful number, since it uses less digits than its factorization.

2122424010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25868 (or 25865 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2122424010 is about 46069.7732792337. The cubic root of 2122424010 is about 1285.1210875714.

Adding to 2122424010 its reverse (104242212), we get a palindrome (2226666222).

The spelling of 2122424010 in words is "two billion, one hundred twenty-two million, four hundred twenty-four thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 131 210 262 315 393 630 655 786 917 1179 1310 1834 1965 2358 2751 3930 4585 5502 5895 8253 9170 11790 13755 16506 25717 27510 41265 51434 77151 82530 128585 154302 180019 231453 257170 360038 385755 462906 540057 771510 900095 1080114 1157265 1620171 1800190 2314530 2700285 3240342 3368927 5400570 6737854 8100855 10106781 16201710 16844635 20213562 23582489 30320343 33689270 47164978 50533905 60640686 70747467 101067810 117912445 141494934 151601715 212242401 235824890 303203430 353737335 424484802 707474670 1061212005 2122424010