Search a number
-
+
2210010312 = 2334712715427
BaseRepresentation
bin1000001110111010…
…0001010011001000
312201000112011012210
42003232201103020
514011230312222
61003144105120
7105523530516
oct20356412310
95630464183
102210010312
11a34547504
125181651a0
13292b27b13
1416d7254b6
15ce047d0c
hex83ba14c8

2210010312 has 64 divisors (see below), whose sum is σ = 5687377920. Its totient is φ = 715272768.

The previous prime is 2210010311. The next prime is 2210010317. The reversal of 2210010312 is 2130100122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2210010311) 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, 135543 + ... + 150969.

It is an arithmetic number, because the mean of its divisors is an integer number (88865280).

Almost surely, 22210010312 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 2210010312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843688960).

2210010312 is an abundant number, since it is smaller than the sum of its proper divisors (3477367608).

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

2210010312 is a wasteful number, since it uses less digits than its factorization.

2210010312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15610 (or 15606 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2210010312 is about 47010.7467713501. The cubic root of 2210010312 is about 1302.5610876604.

Adding to 2210010312 its reverse (2130100122), we get a palindrome (4340110434).

The spelling of 2210010312 in words is "two billion, two hundred ten million, ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 47 94 127 141 188 254 282 376 381 508 564 762 1016 1128 1524 3048 5969 11938 15427 17907 23876 30854 35814 46281 47752 61708 71628 92562 123416 143256 185124 370248 725069 1450138 1959229 2175207 2900276 3918458 4350414 5800552 5877687 7836916 8700828 11755374 15673832 17401656 23510748 47021496 92083763 184167526 276251289 368335052 552502578 736670104 1105005156 2210010312