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2242201461 = 36131139397
BaseRepresentation
bin1000010110100101…
…0100011101110101
312210021002122011120
42011221110131311
514043000421321
61010254054153
7106364253333
oct20551243565
95707078146
102242201461
11a50734165
12526aaa359
132996b9236
14173b04b53
15d1ca5ec6
hex85a54775

2242201461 has 16 divisors (see below), whose sum is σ = 3048459648. Its totient is φ = 1465531200.

The previous prime is 2242201441. The next prime is 2242201477. The reversal of 2242201461 is 1641022422.

It is a happy number.

2242201461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2242201461 - 26 = 2242201397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242201441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37215 + ... + 76611.

It is an arithmetic number, because the mean of its divisors is an integer number (190528728).

Almost surely, 22242201461 is an apocalyptic number.

It is an amenable number.

2242201461 is a deficient number, since it is larger than the sum of its proper divisors (806258187).

2242201461 is a wasteful number, since it uses less digits than its factorization.

2242201461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39772.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2242201461 is about 47351.8897299780. The cubic root of 2242201461 is about 1308.8550221183.

Adding to 2242201461 its reverse (1641022422), we get a palindrome (3883223883).

The spelling of 2242201461 in words is "two billion, two hundred forty-two million, two hundred one thousand, four hundred sixty-one".

Divisors: 1 3 61 183 311 933 18971 39397 56913 118191 2403217 7209651 12252467 36757401 747400487 2242201461