Search a number
-
+
2230031232 = 2732111313537
BaseRepresentation
bin1000010011101011…
…1001001110000000
312202102012022202100
42010322321032000
514031341444412
61005141150400
7106155644532
oct20472711600
95672168670
102230031232
11a44881520
125229bb400
13297017910
14172257852
15d0b9eedc
hex84eb9380

2230031232 has 192 divisors, whose sum is σ = 7539582960. Its totient is φ = 623738880.

The previous prime is 2230031207. The next prime is 2230031239. The reversal of 2230031232 is 2321300322.

It is a happy number.

2230031232 is a `hidden beast` number, since 22 + 300 + 312 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230031239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157968 + ... + 171504.

Almost surely, 22230031232 is an apocalyptic number.

2230031232 is a gapful number since it is divisible by the number (22) 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 2230031232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3769791480).

2230031232 is an abundant number, since it is smaller than the sum of its proper divisors (5309551728).

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

2230031232 is a wasteful number, since it uses less digits than its factorization.

2230031232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13581 (or 13566 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2230031232 is about 47223.2064985003. The cubic root of 2230031232 is about 1306.4826553780.

Adding to 2230031232 its reverse (2321300322), we get a palindrome (4551331554).

The spelling of 2230031232 in words is "two billion, two hundred thirty million, thirty-one thousand, two hundred thirty-two".