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230014224 = 243211243307
BaseRepresentation
bin11011011010110…
…11110100010000
3121000210221012100
431231123310100
5432340423344
634454000400
75462042256
oct1555336420
9530727170
10230014224
11108923100
1265046100
13388658bb
14227965d6
15152d7569
hexdb5bd10

230014224 has 180 divisors, whose sum is σ = 726373648. Its totient is φ = 67858560.

The previous prime is 230014207. The next prime is 230014271. The reversal of 230014224 is 422410032.

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

It is a junction number, because it is equal to n+sod(n) for n = 230014197 and 230014206.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 749079 + ... + 749385.

Almost surely, 2230014224 is an apocalyptic number.

230014224 is a gapful number since it is divisible by the number (24) 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 230014224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363186824).

230014224 is an abundant number, since it is smaller than the sum of its proper divisors (496359424).

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

230014224 is a wasteful number, since it uses less digits than its factorization.

230014224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 230014224 is about 15166.2198322456. The cubic root of 230014224 is about 612.7051976090.

Adding to 230014224 its reverse (422410032), we get a palindrome (652424256).

It can be divided in two parts, 23001 and 4224, that added together give a square (27225 = 1652).

The spelling of 230014224 in words is "two hundred thirty million, fourteen thousand, two hundred twenty-four".