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422024000424 = 233131971191633
BaseRepresentation
bin1100010010000101001…
…01110011001110101000
31111100022120121111212020
412021002211303032220
523403301121003144
6521513010544440
742330101546535
oct6110245631650
91440276544766
10422024000424
11152a85600944
126995ab98120
1330a48444560
14165d71cdd8c
15aea01b8419
hex62429733a8

422024000424 has 64 divisors (see below), whose sum is σ = 1196019451200. Its totient is φ = 123019140096.

The previous prime is 422024000357. The next prime is 422024000543. The reversal of 422024000424 is 424000420224.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 422024000394 and 422024000403.

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 15 ways as a sum of consecutive naturals, for example, 35589889 + ... + 35601744.

It is an arithmetic number, because the mean of its divisors is an integer number (18687803925).

Almost surely, 2422024000424 is an apocalyptic number.

It is an amenable number.

422024000424 is an abundant number, since it is smaller than the sum of its proper divisors (773995450776).

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

422024000424 is a wasteful number, since it uses less digits than its factorization.

422024000424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71191674 (or 71191670 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 422024000424 its reverse (424000420224), we get a palindrome (846024420648).

The spelling of 422024000424 in words is "four hundred twenty-two billion, twenty-four million, four hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1482 1976 2964 5928 71191633 142383266 213574899 284766532 427149798 569533064 854299596 925491229 1352641027 1708599192 1850982458 2705282054 2776473687 3701964916 4057923081 5410564108 5552947374 7403929832 8115846162 10821128216 11105894748 16231692324 17584333351 22211789496 32463384648 35168666702 52753000053 70337333404 105506000106 140674666808 211012000212 422024000424