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238208356 = 2277172
BaseRepresentation
bin11100011001011…
…00010101100100
3121121020020102201
432030230111210
5441440131411
635345344244
75621511001
oct1614542544
9547206381
10238208356
1111250a511
1267938084
133a4744b9
14238ca8a8
1515da53c1
hexe32c564

238208356 has 9 divisors (see below), whose sum is σ = 416918649. Its totient is φ = 119088744.

The previous prime is 238208353. The next prime is 238208359. The reversal of 238208356 is 653802832.

The square root of 238208356 is 15434.

It is a perfect power (a square), and thus also a powerful number.

238208356 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (238208353) and next prime (238208359).

It can be written as a sum of positive squares in only one way, i.e., 116856100 + 121352256 = 10810^2 + 11016^2 .

It is a Duffinian number.

238208356 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (238208351) 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 2 ways as a sum of consecutive naturals, for example, 27010 + ... + 34726.

Almost surely, 2238208356 is an apocalyptic number.

238208356 is the 15434-th square number.

It is an amenable number.

238208356 is a deficient number, since it is larger than the sum of its proper divisors (178710293).

238208356 is an frugal number, since it uses more digits than its factorization.

238208356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15438 (or 7719 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The cubic root of 238208356 is about 619.8962330675.

The spelling of 238208356 in words is "two hundred thirty-eight million, two hundred eight thousand, three hundred fifty-six".

Divisors: 1 2 4 7717 15434 30868 59552089 119104178 238208356