Search a number
-
+
2194922013840 = 2437579379419
BaseRepresentation
bin11111111100001011100…
…011000000010010010000
321202211110220000010000000
4133330023203000102100
5241430200013420330
64400155552130000
7314402133166503
oct37741343002220
97684426003000
102194922013840
11776952289906
122b5482b36900
1312bc9881b0ba
14783403ad13a
153c165743560
hex1ff0b8c0490

2194922013840 has 640 divisors, whose sum is σ = 7789501440000. Its totient is φ = 575003100672.

The previous prime is 2194922013803. The next prime is 2194922013841. The reversal of 2194922013840 is 483102294912.

2194922013840 is a `hidden beast` number, since 2 + 1 + 9 + 49 + 220 + 1 + 384 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2194922013841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5238477151 + ... + 5238477569.

It is an arithmetic number, because the mean of its divisors is an integer number (12171096000).

Almost surely, 22194922013840 is an apocalyptic number.

2194922013840 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 2194922013840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3894750720000).

2194922013840 is an abundant number, since it is smaller than the sum of its proper divisors (5594579426160).

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

2194922013840 is an equidigital number, since it uses as much as digits as its factorization.

2194922013840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 2194922013840 in words is "two trillion, one hundred ninety-four billion, nine hundred twenty-two million, thirteen thousand, eight hundred forty".