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2342014342200 = 23325213648115443
BaseRepresentation
bin100010000101001010111…
…011101101010000111000
322021220011000011121020100
4202011022323231100320
5301332421132422300
64551523451155400
7331130204306121
oct42051273552070
98256130147210
102342014342200
11823274049245
12319a93a45b60
1313cb0a8719a0
14814d590d048
1540dc3e1a700
hex2214aeed438

2342014342200 has 288 divisors, whose sum is σ = 8472140717040. Its totient is φ = 576369561600.

The previous prime is 2342014342139. The next prime is 2342014342211. The reversal of 2342014342200 is 22434102432.

2342014342200 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 0 + 1 + 434 + 220 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 151647679 + ... + 151663121.

Almost surely, 22342014342200 is an apocalyptic number.

2342014342200 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 2342014342200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4236070358520).

2342014342200 is an abundant number, since it is smaller than the sum of its proper divisors (6130126374840).

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

2342014342200 is a wasteful number, since it uses less digits than its factorization.

2342014342200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21959 (or 21947 counting only the distinct ones).

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

Adding to 2342014342200 its reverse (22434102432), we get a palindrome (2364448444632).

The spelling of 2342014342200 in words is "two trillion, three hundred forty-two billion, fourteen million, three hundred forty-two thousand, two hundred".