Search a number
-
+
231426074880 = 283257211134761
BaseRepresentation
bin1101011110001000010…
…0011010100100000000
3211010100110222200211200
43113202010122210000
512242430033344010
6254152103541200
722501645115400
oct3274204324400
9733313880750
10231426074880
118a168a93410
1238a2815a800
1318a91c92260
14b2b5aa8800
156047393cc0
hex35e211a900

231426074880 has 2592 divisors, whose sum is σ = 1135880299008. Its totient is φ = 42732748800.

The previous prime is 231426074809. The next prime is 231426074881. The reversal of 231426074880 is 88470624132.

It is a happy number.

231426074880 is a `hidden beast` number, since 2 + 31 + 4 + 2 + 607 + 4 + 8 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (231426074881) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3793870050 + ... + 3793870110.

It is an arithmetic number, because the mean of its divisors is an integer number (438225424).

Almost surely, 2231426074880 is an apocalyptic number.

231426074880 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 231426074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567940149504).

231426074880 is an abundant number, since it is smaller than the sum of its proper divisors (904454224128).

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

231426074880 is a wasteful number, since it uses less digits than its factorization.

231426074880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 231426074880 in words is "two hundred thirty-one billion, four hundred twenty-six million, seventy-four thousand, eight hundred eighty".