Search a number
-
+
2246087495520 = 253351167616991
BaseRepresentation
bin100000101011110101001…
…111110100111101100000
321221201112200212212221000
4200223311033310331200
5243244441344324040
64435501030032000
7321163066463151
oct40536517647540
97851480785830
102246087495520
11796618921560
123033821a8600
13133a60b8784b
147a9d5805928
153d65c5a6130
hex20af53f4f60

2246087495520 has 384 divisors, whose sum is σ = 8578465781760. Its totient is φ = 544347648000.

The previous prime is 2246087495489. The next prime is 2246087495537. The reversal of 2246087495520 is 255947806422.

2246087495520 is a `hidden beast` number, since 2 + 2 + 4 + 6 + 0 + 87 + 4 + 9 + 552 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 321279225 + ... + 321286215.

It is an arithmetic number, because the mean of its divisors is an integer number (22339754640).

Almost surely, 22246087495520 is an apocalyptic number.

2246087495520 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 2246087495520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289232890880).

2246087495520 is an abundant number, since it is smaller than the sum of its proper divisors (6332378286240).

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

2246087495520 is a wasteful number, since it uses less digits than its factorization.

2246087495520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13787 (or 13773 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 2246087495520 in words is "two trillion, two hundred forty-six billion, eighty-seven million, four hundred ninety-five thousand, five hundred twenty".