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2234234324322 = 23271121361283653
BaseRepresentation
bin100000100000110010101…
…111100100010101100010
321220120221122001101211100
4200200302233210111202
5243101202441334242
64430220523255230
7320263260260550
oct40406257442542
97816848041740
102234234324322
11791596036600
1230101467a516
131328c2281690
147a1cd4c8bd0
153d1b6b8a54c
hex20832be4562

2234234324322 has 576 divisors, whose sum is σ = 6689937316608. Its totient is φ = 524233036800.

The previous prime is 2234234324321. The next prime is 2234234324327.

2234234324322 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 2 + 3 + 4 + 324 + 322 = 666.

2234234324322 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2234234324321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3421491748 + ... + 3421492400.

It is an arithmetic number, because the mean of its divisors is an integer number (11614474508).

Almost surely, 22234234324322 is an apocalyptic number.

2234234324322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2234234324322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3344968658304).

2234234324322 is an abundant number, since it is smaller than the sum of its proper divisors (4455702992286).

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

2234234324322 is a wasteful number, since it uses less digits than its factorization.

2234234324322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1033 counting only the distinct ones).

The product of its digits is 331776, while the sum is 36.

The spelling of 2234234324322 in words is "two trillion, two hundred thirty-four billion, two hundred thirty-four million, three hundred twenty-four thousand, three hundred twenty-two".