Search a number
-
+
194223744000 = 21034531113131
BaseRepresentation
bin1011010011100010100…
…0110010010000000000
3200120022210020110220000
42310320220302100000
511140232234302000
6225120344520000
720014021404336
oct2647050622000
9616283213800
10194223744000
1175408270610
1231785180000
1315413702010
149586cb5b56
1550bb2d6000
hex2d38a32400

194223744000 has 1760 divisors, whose sum is σ = 856862278272. Its totient is φ = 43130880000.

The previous prime is 194223743993. The next prime is 194223744019. The reversal of 194223744000 is 447322491.

194223744000 is a `hidden beast` number, since 19 + 4 + 2 + 237 + 4 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1482623935 + ... + 1482624065.

Almost surely, 2194223744000 is an apocalyptic number.

194223744000 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 194223744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428431139136).

194223744000 is an abundant number, since it is smaller than the sum of its proper divisors (662638534272).

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

194223744000 is a wasteful number, since it uses less digits than its factorization.

194223744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 194223744000 in words is "one hundred ninety-four billion, two hundred twenty-three million, seven hundred forty-four thousand".