Search a number
-
+
230847045120 = 293551919531
BaseRepresentation
bin1101011011111110001…
…1100101111000000000
3211001212010102221100000
43112333203211320000
512240233320420440
6254014421200000
722451414336106
oct3267743457000
9731763387300
10230847045120
11899a115881a
12388a6260000
13189cc0295b3
14b25cc1dc76
156011619730
hex35bf8e5e00

230847045120 has 480 divisors, whose sum is σ = 872780388480. Its totient is φ = 58316267520.

The previous prime is 230847045113. The next prime is 230847045137. The reversal of 230847045120 is 21540748032.

It is a happy number.

230847045120 is a `hidden beast` number, since 23 + 0 + 8 + 470 + 45 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

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, 11809755 + ... + 11829285.

It is an arithmetic number, because the mean of its divisors is an integer number (1818292476).

Almost surely, 2230847045120 is an apocalyptic number.

230847045120 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 230847045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436390194240).

230847045120 is an abundant number, since it is smaller than the sum of its proper divisors (641933343360).

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

230847045120 is an equidigital number, since it uses as much as digits as its factorization.

230847045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19588 (or 19560 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 230847045120 in words is "two hundred thirty billion, eight hundred forty-seven million, forty-five thousand, one hundred twenty".