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2030224328 = 2311194572657
BaseRepresentation
bin111100100000010…
…1100001111001000
312020111020002012122
41321000230033020
513124214134303
6533242430412
7101211423236
oct17100541710
95214202178
102030224328
11952010650
12487b02408
132647ca492
141538c5956
15bd382e38
hex7902c3c8

2030224328 has 64 divisors (see below), whose sum is σ = 4382510400. Its totient is φ = 872017920.

The previous prime is 2030224327. The next prime is 2030224333. The reversal of 2030224328 is 8234220302.

It is a junction number, because it is equal to n+sod(n) for n = 2030224297 and 2030224306.

It is not an unprimeable number, because it can be changed into a prime (2030224327) by changing a digit.

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, 762776 + ... + 765432.

It is an arithmetic number, because the mean of its divisors is an integer number (68476725).

Almost surely, 22030224328 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 2030224328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191255200).

2030224328 is an abundant number, since it is smaller than the sum of its proper divisors (2352286072).

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

2030224328 is a wasteful number, since it uses less digits than its factorization.

2030224328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150 (or 3146 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 2030224328 is about 45058.0106973222. The cubic root of 2030224328 is about 1266.2360559672.

The spelling of 2030224328 in words is "two billion, thirty million, two hundred twenty-four thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 457 836 914 1672 1828 2657 3656 5027 5314 8683 10054 10628 17366 20108 21256 29227 34732 40216 50483 58454 69464 95513 100966 116908 191026 201932 233816 382052 403864 555313 764104 1110626 1214249 2221252 2428498 4442504 4856996 9713992 13356739 23070731 26713478 46141462 53426956 92282924 106853912 184565848 253778041 507556082 1015112164 2030224328