Search a number
-
+
2200550022 = 23211591131667
BaseRepresentation
bin1000001100101001…
…1011101010000110
312200100201112010200
42003022123222012
514001320100042
61002205231330
7105350236506
oct20312335206
95610645120
102200550022
11a2a175890
12514b62546
13290b94b08
1416c381a06
15cd2c9c4c
hex8329ba86

2200550022 has 96 divisors (see below), whose sum is σ = 5339468160. Its totient is φ = 649340160.

The previous prime is 2200550021. The next prime is 2200550039.

2200550022 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2200549977 and 2200550004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200550021) 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, 1319233 + ... + 1320899.

It is an arithmetic number, because the mean of its divisors is an integer number (55619460).

Almost surely, 22200550022 is an apocalyptic number.

2200550022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200550022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669734080).

2200550022 is an abundant number, since it is smaller than the sum of its proper divisors (3138918138).

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

2200550022 is a wasteful number, since it uses less digits than its factorization.

2200550022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2200550022 is about 46910.0204860326. The cubic root of 2200550022 is about 1300.6998247759.

It can be divided in two parts, 22005 and 50022, that added together give a palindrome (72027).

The spelling of 2200550022 in words is "two billion, two hundred million, five hundred fifty thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 59 66 99 113 118 177 198 226 339 354 531 649 678 1017 1062 1243 1298 1667 1947 2034 2486 3334 3729 3894 5001 5841 6667 7458 10002 11187 11682 13334 15003 18337 20001 22374 30006 36674 40002 55011 60003 73337 98353 110022 120006 146674 165033 188371 196706 220011 295059 330066 376742 440022 565113 590118 660033 885177 1081883 1130226 1320066 1695339 1770354 2072081 2163766 3245649 3390678 4144162 6216243 6491298 9736947 11113889 12432486 18648729 19473894 22227778 33341667 37297458 66683334 100025001 122252779 200050002 244505558 366758337 733516674 1100275011 2200550022