Search a number
-
+
2331423360 = 273257531091
BaseRepresentation
bin1000101011110110…
…1011001010000000
320000110222120121100
42022331223022000
514233321021420
61023202254400
7111526525440
oct21275531200
96013876540
102331423360
11a97033972
12550957400
132b2027c66
141818cc120
15d9a2c190
hex8af6b280

2331423360 has 384 divisors, whose sum is σ = 9382988160. Its totient is φ = 522362880.

The previous prime is 2331423349. The next prime is 2331423377. The reversal of 2331423360 is 633241332.

It is a happy number.

2331423360 is a `hidden beast` number, since 233 + 1 + 423 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 2136415 + ... + 2137505.

It is an arithmetic number, because the mean of its divisors is an integer number (24434865).

Almost surely, 22331423360 is an apocalyptic number.

2331423360 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 2331423360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4691494080).

2331423360 is an abundant number, since it is smaller than the sum of its proper divisors (7051564800).

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

2331423360 is a wasteful number, since it uses less digits than its factorization.

2331423360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 2331423360 is about 48284.8150043054. The cubic root of 2331423360 is about 1325.9904041674.

Adding to 2331423360 its reverse (633241332), we get a palindrome (2964664692).

The spelling of 2331423360 in words is "two billion, three hundred thirty-one million, four hundred twenty-three thousand, three hundred sixty".