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2234833644096 = 263107692
BaseRepresentation
bin100000100001010110011…
…101110010101001000000
321220122111101210000000000
4200201112131302221000
5243103414403102341
64430400213000000
7320314155354534
oct40412635625100
97818441700000
102234833644096
1179187336a3a9
12301161323000
1313298949c771
147a248d35bc4
153d1ee5c18b6
hex20856772a40

2234833644096 has 231 divisors, whose sum is σ = 6660746021001. Its totient is φ = 743975829504.

The previous prime is 2234833644091. The next prime is 2234833644097. The reversal of 2234833644096 is 6904463384322.

The square root of 2234833644096 is 1494936.

It is a perfect power (a square), and thus also a powerful number.

2234833644096 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 83 + 36 + 440 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 874344684096 + 1360488960000 = 935064^2 + 1166400^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2234833644091) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 2906155200 + ... + 2906155968.

Almost surely, 22234833644096 is an apocalyptic number.

2234833644096 is the 1494936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2234833644096

2234833644096 is an abundant number, since it is smaller than the sum of its proper divisors (4425912376905).

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

2234833644096 is an frugal number, since it uses more digits than its factorization.

2234833644096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 54.

The spelling of 2234833644096 in words is "two trillion, two hundred thirty-four billion, eight hundred thirty-three million, six hundred forty-four thousand, ninety-six".