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230662224 = 243213123217
BaseRepresentation
bin11011011111110…
…10000001010000
3121002000212002100
431233322001100
5433022142344
634515520400
75500411422
oct1557720120
9532025070
10230662224
11109225a41
12652b9100
1338a31830
14228c4812
15153b4569
hexdbfa050

230662224 has 60 divisors (see below), whose sum is σ = 695195956. Its totient is φ = 70972416.

The previous prime is 230662207. The next prime is 230662231. The reversal of 230662224 is 422266032.

230662224 is a `hidden beast` number, since 2 + 30 + 6 + 622 + 2 + 4 = 666.

230662224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 157251600 + 73410624 = 12540^2 + 8568^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59737 + ... + 63480.

Almost surely, 2230662224 is an apocalyptic number.

230662224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230662224 is an abundant number, since it is smaller than the sum of its proper divisors (464533732).

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

230662224 is a wasteful number, since it uses less digits than its factorization.

230662224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123244 (or 123235 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 230662224 is about 15187.5680739215. The cubic root of 230662224 is about 613.2800326502.

The spelling of 230662224 in words is "two hundred thirty million, six hundred sixty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 123217 246434 369651 492868 739302 985736 1108953 1478604 1601821 1971472 2217906 2957208 3203642 4435812 4805463 5914416 6407284 8871624 9610926 12814568 14416389 17743248 19221852 25629136 28832778 38443704 57665556 76887408 115331112 230662224