Search a number
-
+
2201020110 = 2325373671801
BaseRepresentation
bin1000001100110000…
…1110011011001110
312200101121101222100
42003030032123032
514001430120420
61002223255530
7105354235152
oct20314163316
95611541870
102201020110
11a2a466a93
1251514a5a6
13290ccaa83
1416c465062
15cd36e190
hex8330e6ce

2201020110 has 96 divisors (see below), whose sum is σ = 5896605312. Its totient is φ = 569203200.

The previous prime is 2201020099. The next prime is 2201020111. The reversal of 2201020110 is 110201022.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2201020092 and 2201020101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201020111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1221210 + ... + 1223010.

It is an arithmetic number, because the mean of its divisors is an integer number (61422972).

Almost surely, 22201020110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201020110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948302656).

2201020110 is an abundant number, since it is smaller than the sum of its proper divisors (3695585202).

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

2201020110 is a wasteful number, since it uses less digits than its factorization.

2201020110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2201020110 is about 46915.0307470857. The cubic root of 2201020110 is about 1300.7924379618.

Adding to 2201020110 its reverse (110201022), we get a palindrome (2311221132).

The spelling of 2201020110 in words is "two billion, two hundred one million, twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 367 370 555 666 734 1101 1110 1665 1801 1835 2202 3303 3330 3602 3670 5403 5505 6606 9005 10806 11010 13579 16209 16515 18010 27015 27158 32418 33030 40737 54030 66637 67895 81045 81474 122211 133274 135790 162090 199911 203685 244422 333185 399822 407370 599733 611055 660967 666370 999555 1199466 1222110 1321934 1982901 1999110 2998665 3304835 3965802 5948703 5997330 6609670 9914505 11897406 19829010 24455779 29743515 48911558 59487030 73367337 122278895 146734674 220102011 244557790 366836685 440204022 733673370 1100510055 2201020110