Search a number
-
+
232704225048240 = 243251152356179439
BaseRepresentation
bin110100111010010010101100…
…101010111111011010110000
31010111221022021112211202100200
4310322102230222333122300
5221000111223103020430
62142530502320315200
7100005216425452401
oct6472225452773260
91114838245752320
10232704225048240
11681683424a9090
122212377a172b00
139cacbb683826a
144166d31d3b9a8
151bd8286cc9460
hexd3a4acabf6b0

232704225048240 has 240 divisors, whose sum is σ = 854173778664960. Its totient is φ = 56305279941120.

The previous prime is 232704225048227. The next prime is 232704225048263. The reversal of 232704225048240 is 42840522407232.

232704225048240 is a `hidden beast` number, since 2 + 3 + 2 + 7 + 0 + 4 + 22 + 504 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23947560 + ... + 32231879.

It is an arithmetic number, because the mean of its divisors is an integer number (3559057411104).

Almost surely, 2232704225048240 is an apocalyptic number.

232704225048240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232704225048240 is an abundant number, since it is smaller than the sum of its proper divisors (621469553616720).

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

232704225048240 is a wasteful number, since it uses less digits than its factorization.

232704225048240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56179992 (or 56179983 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 45.

The spelling of 232704225048240 in words is "two hundred thirty-two trillion, seven hundred four billion, two hundred twenty-five million, forty-eight thousand, two hundred forty".