Search a number
-
+
223851050640 = 24325775159141
BaseRepresentation
bin1101000001111010001…
…1111111011010010000
3210101210120020121002100
43100132203333122100
512131421332110030
6250500304520400
722113144351540
oct3203643773220
9711716217070
10223851050640
1186a3109a5a8
1237473320100
13181557c68a9
14ab97a27320
155c52342360
hex341e8ff690

223851050640 has 240 divisors, whose sum is σ = 860320221696. Its totient is φ = 51096960000.

The previous prime is 223851050611. The next prime is 223851050653. The reversal of 223851050640 is 46050158322.

223851050640 is a `hidden beast` number, since 2 + 2 + 3 + 8 + 5 + 1 + 0 + 5 + 0 + 640 = 666.

It is a Cunningham number, because it is equal to 4731292-1.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 223851050595 and 223851050604.

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, 3755470 + ... + 3814610.

Almost surely, 2223851050640 is an apocalyptic number.

223851050640 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 223851050640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430160110848).

223851050640 is an abundant number, since it is smaller than the sum of its proper divisors (636469171056).

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

223851050640 is a wasteful number, since it uses less digits than its factorization.

223851050640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59918 (or 59909 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 223851050640 in words is "two hundred twenty-three billion, eight hundred fifty-one million, fifty thousand, six hundred forty".