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234144224 = 25471511031
BaseRepresentation
bin11011111010011…
…00000111100000
3121022120202111022
431331030013200
5434420103344
635122305012
75542123136
oct1575140740
9538522438
10234144224
11110194026
12664b8168
13396806a2
142314d756
15158510ee
hexdf4c1e0

234144224 has 48 divisors (see below), whose sum is σ = 474356736. Its totient is φ = 113712000.

The previous prime is 234144223. The next prime is 234144283. The reversal of 234144224 is 422441432.

It is a happy number.

234144224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 234144193 and 234144202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234144221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226589 + ... + 227619.

It is an arithmetic number, because the mean of its divisors is an integer number (9882432).

Almost surely, 2234144224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234144224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237178368).

234144224 is an abundant number, since it is smaller than the sum of its proper divisors (240212512).

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

234144224 is a wasteful number, since it uses less digits than its factorization.

234144224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1231 counting only the distinct ones).

The product of its digits is 6144, while the sum is 26.

The square root of 234144224 is about 15301.7719235388. The cubic root of 234144224 is about 616.3505903299.

Adding to 234144224 its reverse (422441432), we get a palindrome (656585656).

The spelling of 234144224 in words is "two hundred thirty-four million, one hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 47 94 151 188 302 376 604 752 1031 1208 1504 2062 2416 4124 4832 7097 8248 14194 16496 28388 32992 48457 56776 96914 113552 155681 193828 227104 311362 387656 622724 775312 1245448 1550624 2490896 4981792 7317007 14634014 29268028 58536056 117072112 234144224