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2030164024 = 237292774513
BaseRepresentation
bin111100100000001…
…1101100000111000
312020111010000111011
41321000131200320
513124210222044
6533241243304
7101211052360
oct17100354070
95214100434
102030164024
11951a7a309
12487a93534
132647a8bb5
141538ab9a0
15bd370134
hex7901d838

2030164024 has 64 divisors (see below), whose sum is σ = 4517611200. Its totient is φ = 836849664.

The previous prime is 2030164007. The next prime is 2030164033. The reversal of 2030164024 is 4204610302.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2030163986 and 2030164004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447592 + ... + 452104.

It is an arithmetic number, because the mean of its divisors is an integer number (70587675).

Almost surely, 22030164024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2030164024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258805600).

2030164024 is an abundant number, since it is smaller than the sum of its proper divisors (2487447176).

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

2030164024 is a wasteful number, since it uses less digits than its factorization.

2030164024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832 (or 4828 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2030164024 is about 45057.3415105685. The cubic root of 2030164024 is about 1266.2235187885.

Adding to 2030164024 its reverse (4204610302), we get a palindrome (6234774326).

The spelling of 2030164024 in words is "two billion, thirty million, one hundred sixty-four thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 277 406 554 812 1108 1624 1939 2216 3878 4513 7756 8033 9026 15512 16066 18052 31591 32132 36104 56231 63182 64264 112462 126364 130877 224924 252728 261754 449848 523508 916139 1047016 1250101 1832278 2500202 3664556 5000404 7329112 8750707 10000808 17501414 35002828 36252929 70005656 72505858 145011716 253770503 290023432 507541006 1015082012 2030164024