Search a number
-
+
2220410000 = 2454222041
BaseRepresentation
bin1000010001011000…
…1100010010010000
312201202002111220102
42010112030102100
514021411110000
61004155031532
7106011113354
oct20426142220
95652074812
102220410000
11a3a3aa996
1251b73b5a8
13295029593
14170c71464
15cedee3d5
hex8458c490

2220410000 has 50 divisors (see below), whose sum is σ = 5375858862. Its totient is φ = 888160000.

The previous prime is 2220409991. The next prime is 2220410021. The reversal of 2220410000 is 140222.

It can be written as a sum of positive squares in 5 ways, for example, as 1405650064 + 814759936 = 37492^2 + 28544^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-3 number, since 3×22204100003 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 101021 + ... + 121020.

Almost surely, 22220410000 is an apocalyptic number.

2220410000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220410000 is an abundant number, since it is smaller than the sum of its proper divisors (3155448862).

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

2220410000 is an equidigital number, since it uses as much as digits as its factorization.

2220410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222069 (or 222048 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2220410000 is about 47121.2266393820. The cubic root of 2220410000 is about 1304.6010534115.

Adding to 2220410000 its reverse (140222), we get a palindrome (2220550222).

The spelling of 2220410000 in words is "two billion, two hundred twenty million, four hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 222041 444082 888164 1110205 1776328 2220410 3552656 4440820 5551025 8881640 11102050 17763280 22204100 27755125 44408200 55510250 88816400 111020500 138775625 222041000 277551250 444082000 555102500 1110205000 2220410000