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2234891022208 = 271325312715349
BaseRepresentation
bin100000100001011001111…
…000101010111110000000
321220122122101202002222021
4200201121320222332000
5243104024100202313
64430410022451224
7320315453151625
oct40413170527600
97818571662867
102234891022208
117918a279a429
12301178593b14
1313299833c200
147a2527d034c
153d20465778d
hex20859e2af80

2234891022208 has 192 divisors, whose sum is σ = 4951119168000. Its totient is φ = 1003991998464.

The previous prime is 2234891022173. The next prime is 2234891022223. The reversal of 2234891022208 is 8022201984322.

It is a super-2 number, since 2×22348910222082 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 145597318 + ... + 145612666.

It is an arithmetic number, because the mean of its divisors is an integer number (25787079000).

Almost surely, 22234891022208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2234891022208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475559584000).

2234891022208 is an abundant number, since it is smaller than the sum of its proper divisors (2716228145792).

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

2234891022208 is a wasteful number, since it uses less digits than its factorization.

2234891022208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15569 (or 15544 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 2234891022208 in words is "two trillion, two hundred thirty-four billion, eight hundred ninety-one million, twenty-two thousand, two hundred eight".