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2230120010 = 2517292411877
BaseRepresentation
bin1000010011101100…
…1110111001001010
312202102100211112102
42010323032321022
514031402320020
61005143113402
7106156464416
oct20473167112
95672324472
102230120010
11a44932198
12522a42862
13297049151
1417227bd46
15d0bbb475
hex84ecee4a

2230120010 has 64 divisors (see below), whose sum is σ = 4417506720. Its totient is φ = 806830080.

The previous prime is 2230120007. The next prime is 2230120019. The reversal of 2230120010 is 100210322.

It is a happy number.

2230120010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 876100801 + 1354019209 = 29599^2 + 36797^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2230119973 and 2230120000.

It is not an unprimeable number, because it can be changed into a prime (2230120019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1187192 + ... + 1189068.

Almost surely, 22230120010 is an apocalyptic number.

2230120010 is a deficient number, since it is larger than the sum of its proper divisors (2187386710).

2230120010 is a wasteful number, since it uses less digits than its factorization.

2230120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2230120010 is about 47224.1464719057. The cubic root of 2230120010 is about 1306.4999922620.

Adding to 2230120010 its reverse (100210322), we get a palindrome (2330330332).

The spelling of 2230120010 in words is "two billion, two hundred thirty million, one hundred twenty thousand, ten".

Divisors: 1 2 5 10 17 29 34 58 85 145 170 241 290 482 493 986 1205 1877 2410 2465 3754 4097 4930 6989 8194 9385 13978 18770 20485 31909 34945 40970 54433 63818 69890 108866 118813 159545 237626 272165 319090 452357 544330 594065 904714 925361 1188130 1850722 2261785 4523570 4626805 7690069 9253610 13118353 15380138 26236706 38450345 65591765 76900690 131183530 223012001 446024002 1115060005 2230120010