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234256224 = 25313071867
BaseRepresentation
bin11011111011001…
…11011101100000
3121022210110010110
431331213131200
5434432144344
635124531320
75543100516
oct1575473540
9538713113
10234256224
11110260194
1266550b40
13396bc667
142317c4b6
15158743b9
hexdf67760

234256224 has 48 divisors (see below), whose sum is σ = 615722688. Its totient is φ = 77983872.

The previous prime is 234256223. The next prime is 234256241. The reversal of 234256224 is 422652432.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 234256191 and 234256200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234256223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124539 + ... + 126405.

It is an arithmetic number, because the mean of its divisors is an integer number (12827556).

Almost surely, 2234256224 is an apocalyptic number.

234256224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234256224 is an abundant number, since it is smaller than the sum of its proper divisors (381466464).

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

234256224 is a wasteful number, since it uses less digits than its factorization.

234256224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3187 (or 3179 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 234256224 is about 15305.4311928805. The cubic root of 234256224 is about 616.4488492307.

The spelling of 234256224 in words is "two hundred thirty-four million, two hundred fifty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1307 1867 2614 3734 3921 5228 5601 7468 7842 10456 11202 14936 15684 20912 22404 29872 31368 41824 44808 59744 62736 89616 125472 179232 2440169 4880338 7320507 9760676 14641014 19521352 29282028 39042704 58564056 78085408 117128112 234256224