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2342013412200 = 23352711194756767
BaseRepresentation
bin100010000101001010111…
…000001010001101101000
322021220010221102100111220
4202011022320022031220
5301332420413142300
64551523415222040
7331130163353550
oct42051270121550
98256127370456
102342013412200
11823273573550
12319a93677920
1313cb0a6075a7
14814d574a160
1540dc3cd4da0
hex2214ae0a368

2342013412200 has 768 divisors, whose sum is σ = 9731034316800. Its totient is φ = 451221580800.

The previous prime is 2342013412177. The next prime is 2342013412201. The reversal of 2342013412200 is 22143102432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2342013412201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41228217 + ... + 41284983.

It is an arithmetic number, because the mean of its divisors is an integer number (12670617600).

Almost surely, 22342013412200 is an apocalyptic number.

2342013412200 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 2342013412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4865517158400).

2342013412200 is an abundant number, since it is smaller than the sum of its proper divisors (7389020904600).

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

2342013412200 is a wasteful number, since it uses less digits than its factorization.

2342013412200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56870 (or 56861 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2342013412200 its reverse (22143102432), we get a palindrome (2364156514632).

The spelling of 2342013412200 in words is "two trillion, three hundred forty-two billion, thirteen million, four hundred twelve thousand, two hundred".