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2242203212340 = 2234571337411071
BaseRepresentation
bin100000101000001101101…
…110011101101000110100
321221100111222220212010000
4200220031232131220310
5243214013010243330
64434015352231300
7320664612561330
oct40501556355064
97840458825100
102242203212340
11794a05294073
1230267939b530
13133592220630
147a7479b47c0
153d4d158c560
hex20a0db9da34

2242203212340 has 480 divisors, whose sum is σ = 8891072999424. Its totient is φ = 460293166080.

The previous prime is 2242203212339. The next prime is 2242203212413. The reversal of 2242203212340 is 432123022422.

2242203212340 is a `hidden beast` number, since 2 + 2 + 422 + 0 + 3 + 2 + 1 + 234 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5249005 + ... + 5660075.

Almost surely, 22242203212340 is an apocalyptic number.

2242203212340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242203212340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445536499712).

2242203212340 is an abundant number, since it is smaller than the sum of its proper divisors (6648869787084).

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

2242203212340 is a wasteful number, since it uses less digits than its factorization.

2242203212340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411149 (or 411138 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2242203212340 its reverse (432123022422), we get a palindrome (2674326234762).

The spelling of 2242203212340 in words is "two trillion, two hundred forty-two billion, two hundred three million, two hundred twelve thousand, three hundred forty".