Search a number
-
+
195230692800 = 26335211213317
BaseRepresentation
bin1011010111010010100…
…1111111010111000000
3200122220221222202222000
42311310221333113000
511144313024132200
6225404315144000
720050666336203
oct2656451772700
9618827882860
10195230692800
1175884700100
1231a06445000
1315544203000
14964091193a
1551298db300
hex2d74a7f5c0

195230692800 has 2016 divisors, whose sum is σ = 897276945600. Its totient is φ = 41118105600.

The previous prime is 195230692763. The next prime is 195230692819. The reversal of 195230692800 is 8296032591.

195230692800 is a `hidden beast` number, since 19 + 52 + 306 + 9 + 280 + 0 = 666.

It is a super-2 number, since 2×1952306928002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11484158392 + ... + 11484158408.

It is an arithmetic number, because the mean of its divisors is an integer number (445077850).

Almost surely, 2195230692800 is an apocalyptic number.

195230692800 is a gapful number since it is divisible by the number (10) 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 195230692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448638472800).

195230692800 is an abundant number, since it is smaller than the sum of its proper divisors (702046252800).

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

195230692800 is a wasteful number, since it uses less digits than its factorization.

195230692800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 195230692800 in words is "one hundred ninety-five billion, two hundred thirty million, six hundred ninety-two thousand, eight hundred".