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2230216926 = 23771799467
BaseRepresentation
bin1000010011101110…
…0110100011011110
312202102112202110220
42010323212203132
514031413420201
61005145142210
7106160350110
oct20473464336
95672482426
102230216926
11a44998a93
12522a8a966
132970812b2
141722a53b0
15d0bda036
hex84ee68de

2230216926 has 64 divisors (see below), whose sum is σ = 5235425280. Its totient is φ = 620212320.

The previous prime is 2230216909. The next prime is 2230216969. The reversal of 2230216926 is 6296120322.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 230845 + ... + 240311.

It is an arithmetic number, because the mean of its divisors is an integer number (81803520).

Almost surely, 22230216926 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230216926, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617712640).

2230216926 is an abundant number, since it is smaller than the sum of its proper divisors (3005208354).

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

2230216926 is a wasteful number, since it uses less digits than its factorization.

2230216926 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9629.

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 2230216926 is about 47225.1725883559. The cubic root of 2230216926 is about 1306.5189178383.

The spelling of 2230216926 in words is "two billion, two hundred thirty million, two hundred sixteen thousand, nine hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 71 79 142 158 213 237 426 474 497 553 994 1106 1491 1659 2982 3318 5609 9467 11218 16827 18934 28401 33654 39263 56802 66269 78526 117789 132538 198807 235578 397614 672157 747893 1344314 1495786 2016471 2243679 4032942 4487358 4705099 5235251 9410198 10470502 14115297 15705753 28230594 31411506 53100403 106200806 159301209 318602418 371702821 743405642 1115108463 2230216926