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232500224 = 2101120641
BaseRepresentation
bin11011101101110…
…10110000000000
3121012111020100102
431312322300000
5434010001344
635023141532
75522135135
oct1566726000
9535436312
10232500224
1110a270950
1265a448a8
13392262c8
1422c4258c
1515628e4e
hexddbac00

232500224 has 44 divisors (see below), whose sum is σ = 507050088. Its totient is φ = 105676800.

The previous prime is 232500223. The next prime is 232500259. The reversal of 232500224 is 422005232.

It is a tau number, because it is divible by the number of its divisors (44).

It is a junction number, because it is equal to n+sod(n) for n = 232500196 and 232500205.

It is not an unprimeable number, because it can be changed into a prime (232500223) 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 3 ways as a sum of consecutive naturals, for example, 944 + ... + 21584.

Almost surely, 2232500224 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 232500224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253525044).

232500224 is an abundant number, since it is smaller than the sum of its proper divisors (274549864).

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

232500224 is a wasteful number, since it uses less digits than its factorization.

232500224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20672 (or 20654 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 232500224 is about 15247.9580272245. The cubic root of 232500224 is about 614.9046707067.

Adding to 232500224 its reverse (422005232), we get a palindrome (654505456).

The spelling of 232500224 in words is "two hundred thirty-two million, five hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2816 5632 11264 20641 41282 82564 165128 227051 330256 454102 660512 908204 1321024 1816408 2642048 3632816 5284096 7265632 10568192 14531264 21136384 29062528 58125056 116250112 232500224