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2242232200 = 235213862397
BaseRepresentation
bin1000010110100101…
…1011111110001000
312210021011012100001
42011221123332020
514043002412300
61010254452344
7106364442055
oct20551337610
95707135301
102242232200
11a5075526a
12526b040b4
132996ca220
14173b1202c
15d1cb016a
hex85a5bf88

2242232200 has 48 divisors (see below), whose sum is σ = 5614210980. Its totient is φ = 827900160.

The previous prime is 2242232197. The next prime is 2242232207. The reversal of 2242232200 is 22322422.

It is a happy number.

2242232200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 270339364 + 1971892836 = 16442^2 + 44406^2 .

It is not an unprimeable number, because it can be changed into a prime (2242232207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 428599 + ... + 433798.

Almost surely, 22242232200 is an apocalyptic number.

2242232200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242232200 is an abundant number, since it is smaller than the sum of its proper divisors (3371978780).

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

2242232200 is a wasteful number, since it uses less digits than its factorization.

2242232200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862426 (or 862417 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 2242232200 is about 47352.2143093647. The cubic root of 2242232200 is about 1308.8610032506.

Adding to 2242232200 its reverse (22322422), we get a palindrome (2264554622).

The spelling of 2242232200 in words is "two billion, two hundred forty-two million, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 862397 1724794 3449588 4311985 6899176 8623970 11211161 17247940 21559925 22422322 34495880 43119850 44844644 56055805 86239700 89689288 112111610 172479400 224223220 280279025 448446440 560558050 1121116100 2242232200