Search a number
-
+
2022411400 = 235210112057
BaseRepresentation
bin111100010001011…
…1000110010001000
312012221112010212221
41320202320302020
513120214131100
6532403143424
7101055133102
oct17042706210
95187463787
102022411400
11948664689
12485374b74
13262cc3249
14152850572
15bc83d01a
hex788b8c88

2022411400 has 24 divisors (see below), whose sum is σ = 4702106970. Its totient is φ = 808964480.

The previous prime is 2022411383. The next prime is 2022411401. The reversal of 2022411400 is 41142202.

It can be written as a sum of positive squares in 3 ways, for example, as 1566418084 + 455993316 = 39578^2 + 21354^2 .

It is not an unprimeable number, because it can be changed into a prime (2022411401) 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 5 ways as a sum of consecutive naturals, for example, 5055829 + ... + 5056228.

Almost surely, 22022411400 is an apocalyptic number.

2022411400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022411400 is an abundant number, since it is smaller than the sum of its proper divisors (2679695570).

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

2022411400 is a wasteful number, since it uses less digits than its factorization.

2022411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10112073 (or 10112064 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2022411400 is about 44971.2285800599. The cubic root of 2022411400 is about 1264.6096792410.

Adding to 2022411400 its reverse (41142202), we get a palindrome (2063553602).

The spelling of 2022411400 in words is "two billion, twenty-two million, four hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 10112057 20224114 40448228 50560285 80896456 101120570 202241140 252801425 404482280 505602850 1011205700 2022411400