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2241356451750 = 23253131031494993
BaseRepresentation
bin100000100111011011010…
…000010100111110100110
321221021022222120221221200
4200213123100110332212
5243210244222424000
64433355343223330
7320634621331503
oct40473320247646
97837288527850
102241356451750
11794610315329
123024818a7b46
13133488977970
147a6a73564aa
153d48207a500
hex209db414fa6

2241356451750 has 384 divisors, whose sum is σ = 6635755526400. Its totient is φ = 542586470400.

The previous prime is 2241356451739. The next prime is 2241356451751. The reversal of 2241356451750 is 571546531422.

2241356451750 is a `hidden beast` number, since 2 + 2 + 4 + 13 + 564 + 5 + 1 + 75 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 2241356451696 and 2241356451705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241356451751) 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, 448897254 + ... + 448902246.

It is an arithmetic number, because the mean of its divisors is an integer number (17280613350).

Almost surely, 22241356451750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241356451750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317877763200).

2241356451750 is an abundant number, since it is smaller than the sum of its proper divisors (4394399074650).

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

2241356451750 is a wasteful number, since it uses less digits than its factorization.

2241356451750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5281 (or 5268 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 2241356451750 in words is "two trillion, two hundred forty-one billion, three hundred fifty-six million, four hundred fifty-one thousand, seven hundred fifty".