Search a number
-
+
2234252160 = 27345747131
BaseRepresentation
bin1000010100101011…
…1111101110000000
312202201010202210000
42011022333232000
514033432032120
61005411440000
7106236554460
oct20512775600
95681122700
102234252160
11a471a4798
125242b6000
13297b64bca
14172a35ba0
15d1235990
hex852bfb80

2234252160 has 640 divisors, whose sum is σ = 9383869440. Its totient is φ = 496005120.

The previous prime is 2234252129. The next prime is 2234252171. The reversal of 2234252160 is 612524322.

It is a happy number.

2234252160 is a `hidden beast` number, since 2 + 23 + 425 + 216 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17055295 + ... + 17055425.

It is an arithmetic number, because the mean of its divisors is an integer number (14662296).

Almost surely, 22234252160 is an apocalyptic number.

2234252160 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 2234252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4691934720).

2234252160 is an abundant number, since it is smaller than the sum of its proper divisors (7149617280).

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

2234252160 is a wasteful number, since it uses less digits than its factorization.

2234252160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2234252160 is about 47267.8766182700. The cubic root of 2234252160 is about 1307.3064246498.

Adding to 2234252160 its reverse (612524322), we get a palindrome (2846776482).

The spelling of 2234252160 in words is "two billion, two hundred thirty-four million, two hundred fifty-two thousand, one hundred sixty".