Search a number
-
+
2010233320 = 235277397457
BaseRepresentation
bin111011111010001…
…1011100111101000
312012002121102200221
41313310123213220
513104104431240
6531250135424
7100546462354
oct16764334750
95162542627
102010233320
119417a7057
12481281574
1326061b194
14150da0464
15bb734a4a
hex77d1b9e8

2010233320 has 64 divisors (see below), whose sum is σ = 4560745680. Its totient is φ = 797423616.

The previous prime is 2010233311. The next prime is 2010233341. The reversal of 2010233320 is 233320102.

It can be written as a sum of positive squares in 8 ways, for example, as 1088868004 + 921365316 = 32998^2 + 30354^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2010233294 and 2010233303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4398532 + ... + 4398988.

Almost surely, 22010233320 is an apocalyptic number.

2010233320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010233320 is an abundant number, since it is smaller than the sum of its proper divisors (2550512360).

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

2010233320 is a wasteful number, since it uses less digits than its factorization.

2010233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2010233320 is about 44835.6255671759. The cubic root of 2010233320 is about 1262.0662578243.

Adding to 2010233320 its reverse (233320102), we get a palindrome (2243553422).

The spelling of 2010233320 in words is "two billion, ten million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 277 397 457 554 794 914 1108 1385 1588 1828 1985 2216 2285 2770 3176 3656 3970 4570 5540 7940 9140 11080 15880 18280 109969 126589 181429 219938 253178 362858 439876 506356 549845 632945 725716 879752 907145 1012712 1099690 1265890 1451432 1814290 2199380 2531780 3628580 4398760 5063560 7257160 50255833 100511666 201023332 251279165 402046664 502558330 1005116660 2010233320